How to Learn Fractions Easy

Introduction to how to learn fractions easy:

In this article we shall discuss about how to learn fractions easy. Here, fractions are also meant through division of a whole. A fraction is can be formation over to a decimal through dividing the upper digit, or numerator, during the lower digit, or denominator. Fractions are instead of as ratios, and significance for fraction which is one of the important math processes. Thus the fractions `3/5` are also used to point out the ratio 3:5 and the fractions 3 ÷ 5 as well.

Example problems based on how to learn fractions easy:

The example problems based on how to learn fractions easy are given below that,

Example 1:

How to learn fractions of 391 divide by 15?

Solution:

Step 1:

Here, 280 divide by 13 is meant by `280/13.`

Step 2:

Now, 280 divide by 13 is given below that,

Here, using long division method. So, long division method is shown given below that,

21.53

13)280             [280 > 13, now divide `280/13` ]

273             [(hint: 21 × 13 = 273)]

70           [7 < 13, so add one zero]

65           [(hint: 5 × 13 = 65)]

50         [5 < 13, so add one zero]

39         [(hint: 3 × 13 = 39)]

11

Step 3:

The final answer is 21.53

Example 2:

How to learn fractions of 228 divide by 7?

Solution:

Step 1:

Here, 228 divide by 7 is meant by `228/7.`

Step 2:

Now, 228 divide by 7 is given below that,

Here, using long division method. So, long division method is shown given below that,

32.57

7)228            [228 > 7, now divide `228/7` ]

224            [(hint: 32 × 7 = 224)]

40          [4 < 7, so add one zero]

35          [(hint: 5 × 7 = 35)]

50        [5 < 7, so add one zero]

49        [(hint: 7 × 7 = 49)]

1

Step 3:

The final answer is 32.57

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Practice problems based on how to learn fractions easy:

The practice problems based on how to learn fractions easy are given below that,

Problem 1:

How to learn fractions of 499 divide by 5?

Answer: The final answer is 99.8

Problem 2:

How to learn fractions of 399 divide by 6?

Answer: The final answer is 66.5

Problem 3:

How to learn fractions of 299 divide by 7?

Answer: The final answer is 42.71

Easy Multiplication Techniques

Introduction to easy multiplication techniques:

Multiplication is the basic operations in mathematics. Multiplication can be done using math tables. Multiplying a small number is a simple task, using math table, but when we consider for a larger number, this process is tedious. We have introduced a lot of easy multiplication techniques to learn as fast as possible. Here we are going to see easy multiplication techniques.

Methods of easy multiplication techniques:

We have a lot of easy multiplication techniques to do fast multiplication. Some of the techniques are,

Methods of easy multiplication techniques for multiplying any two numbers:

To multiply any two numbers, follow the following steps,

Let us consider the example sum, 66 * 64

Take the nearest round value of the given two numbers.
We can write 66 as (65 + 1) and 64 as (65 -1 )
Hence we can compute this as, 65 2 – 1 2.
Hence  we got the answer as  4225 – 1 = 4224.
Thus we got the final right answer as 4224 using easy multiplication techniques.

Note: This technique can be applicable only when the two numbers have the same round values and as well as the distance from the round values is same.

Another example:

To multiply any two numbers, follow the following steps,

Let us consider the example sum, 28 * 22

Take the nearest round value of the given two numbers.
We can write 28 as (25 + 3) and 22 as (25 -3 )
Hence we can compute this as, 25 2 – 3 2.
Hence we got the answer as 625 – 9 = 616.
Thus we got the final right answer as 616 using easy multiplication techniques.

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Methods of easy multiplication techniques for multiplying any two numbers with 11:

To multiply any two numbers with 11, follow the following steps,

Let us consider the example sum, 23 * 11

Take the given number 23.
Add the given number individually.
Hence it becomes 2 + 3 = 5.
Now add 5, in between 2 and 3, we get 253.
Thus we got the final right answer as 253 using easy multiplication techniques.

Another example:

Let us consider the example sum, 75 * 11

Take the given number 75.
Add the given number individually.
Hence it becomes 7+ 5 = 12.
Now add 12, in between 7 and 5.
Here we have carry 1, so the add the carry with 7, we get 825.
Thus we got the final right answer as 825 using easy multiplication techniques.

Dividing Fractions Made Easy

Introduction to dividing fractions made easy:

Fraction is defined as separating the quantities. This is done by using the horizontal line. Also fraction has two parts. The two parts has the numerator function and the denominator function. For example, `9/7` is called as the fraction. In this the number 9 is the numerator part and the number 7 is called the denominator part.

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Explanation for dividing fractions made easy


The explanation for dividing fractions made easy are given below,

For doing the division fraction, we can have many of the rules to be followed,
In the first step for doing division fraction is, we have to take inverse process for the fraction.
In the next step, we have to change the division sign by using the multiplication sign.
Then in the next step, the multiplication rules are followed for doing the division fraction.

Example problem for division fractions made easy


Problem 1:  Solve the given problem by dividing the fractions, `(1)/(6)` and `(4)/(8)`

Solution:

Step 1: Write the given fractions,

`1/6` `-:` `4/8`

Step 2: In the second step, we have to take the inverse process for the given fractions,

= `1/6` `xx` `8/4`

= `1/6` `xx` 2

=`1/3`

This is the required solution for dividing the given fraction.

Problem 2:  Solve the given problem by dividing the fractions, `(2)/(6)` and `(1)/(4)`

Solution:

Step 1: Write the given fractions,

`2/6` `-:` `1/4`

Step 2: In the second step, we have to take the inverse process for the given fractions,

= `2/6` `xx` 4

= `2/3` `xx` 2

=`4/3`

This is the required solution for dividing the given fraction.

Problem 3:  Solve the given problem by dividing the fractions, `(2)/(3)` and `(5)/(2)`

Solution:

Step 1: Write the given fractions,

`2/3` `-:` `5/2`

Step 2: In the second step, we have to take the inverse process for the given fractions,

= `2/3` `xx` `2/5`

= `2/3` `xx` `5/2`

=`5/3`

This is the required solution for dividing the given fraction.

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Practice problem for dividing fractions made easy


Problem 1:  Solve the given problem by dividing the fractions, `(4)/(8)` and `2/3` .

Answer: `6/8`

Problem 2:  Solve the given problem by dividing the fractions, `(3)/(6)` and `1/9` .

Answer: `9/2`

What is Distributive in Math

Introduction to what is distributive in math:

The distributive is basic law in the math for the binary operation. It is used in the algebra and also the ordinary binary number. Distributive is one of the law in the math for perform the basic operations. Distributive law is based on the order of operation. Distributive is used to do the basic operation to get the correct result for the equation. Looking out for more help on factoring polynomials online in algebra by visiting listed websites.


Distributive law in math:

Take a set S and the two binary operations + and also -.

If the operation is left distributive over + and -, then the given elements are x, y and z of S. The distributive law is,

x- (y +z) = (x-y) + (x-z)

If the operation is left distributive over + and -, then the given elements are x, y and z of S. The distributive law is,

(y +z) -x = (y-z) + (z-x)


Examples for distributive in math:


Example 1 for distributive in math:

Solve the equation 3 (x+7) using the distributive law.

Solution:

The given equation is 3 (x+7).

By the distributive law, x- (y +z) = (x-y) + (x-z).

Multiply the number for both x and also 7 to get the simplified value.

3 (x+7) = 3x + 3(7)

3 (x+7) = 3x + 21

The value for the equation 3 (x+7) is 3x+21.

Example 2 for distributive in math:

Find the value for the equation 3x (13+ 7) using the distributive law.

Solution:

The given equation is 3x (13+ 7).

3x (13+ 7) = (3 x 13) + (3 x 7)

3x (13+ 7) = 39 + 21

3x (13+ 7) = 60

The value for the equation 3x (13+ 7) is 60.

Example 3 for distributive in math:

Find the value for the equation 16 x (16- 10) using the distributive law.

Solution:

The given equation is 16 x (16- 10).

16 x (16- 10) = (16 x 16) - (16 x 10)

16 x (16- 10) = 256 - 160

16 x (16- 10) = 96

The value for the equation 16 x (16- 10) is 96.

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Practice problem for distributive in math:


Find the value for the equation 2- (33 +7).
Answer: 38.

Find the value for 5 x (23 -9) using the distributive law.
Answer: 70.

Easy Way to do Division

Introduction to Easy Way to do Division:

A division method can be done by the division symbol ÷.  The number present in the left of the division symbol is dividend and the number present in the right of the division symbol is divisor. The answer you get from the division process is called quotient. The number after dividing process over the remaining number left below the division line is called as remainder. Let us see about an easy way to do division.

Shortest and Easy Way to do Division Problems

Example Problems for Dividing by 9:

Example 1:

Solve the problem using easy way to do division method.

20016 ÷ 9

Solution:

Let us write 20016/9

First find the sum of each digit adding with the next digit and the  total sum got by adding each and every number.

2 (2 + 0) (2 + 0 + 0) (2 + 0 + 0 + 1) last term is (2 + 0 + 0 + 1 + 6)

Write the terms as it is and if the total sum has any carry, it can be add it to the before term.

2 (2) (2) (3) last term is (9)

Divide the last term by the given divisor.

223 + 9/9

223 +1

224

Therefore, the division method for 20016 ÷ 9 is 224.

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Other Example Problem for Easy Way to do Division

Example Problems for Dividing by 9:

Example 2:

Solve the problem using easy way to do division method.

7875 ÷ 9

Solution:

Let us write 7875/9

First find the sum of each digit adding with the next digit and the  total sum got by adding each and every number.

7 (7 + 8) (7 + 8 + 7) last term is (7 + 8 + 7 + 5)

Write the terms as it is and if the total sum has any carry, it can be add it to the before term.

7 (15) (22) last term is (27)

(7 + 10) (5 + 20) (2) Last term is (27)

(80) (70) (2) last term is (27)

(8) (7)(2) Last term is (27)

Divide the last term by the given divisor.

872 + 27/9

872 +3

875

Therefore, the division method for 7875 ÷ 9 is 875.

Algebra Rules Made Easy

Introduction to algebra rules made easy:
As we all know that, algebra consists of constants and variables. There are certain rules and principles for solving algebra problems. Algebra rules really made easy for solving tough algebra problems. Algebra is classified into two categories; they are i) ancient algebra and ii) Modern algebra. There are certain rules to be followed in algebra. These rules are used to solve the problems in algebra. In this article, we are going to see about algebra rules made easy.

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Rules for solving algebra:


The rules for solving algebra is listed below, these rules made easy for solving algebra problems,

Rule 1: All the like terms have to be added/subtracted together on both sides of the given equation.

Rule 2: When there is a multiplication/division operation is to be performed for an equation, then it should be done on both sides.

Rule 3: Change of sign or symbols is applicable in inequalities.

Rule 4: In absolute value, negative sign is altered to positive. Positive value will always remains positive. Negative symbol only changes.

Rule 5: While adding/subtracting polynomials, same degree polynomial is to be added/subtracted in the given problem.

Rule 6: In word problems, translation of word to algebraic expressions is to be done.


Example problems on algebra rules made easy:

Example 1:

Write the equation in slope intercept form,

5y – 4x + 8 = 12

Solution:

Add 4x on both sides,

5y – 4x + 4x + 8 = 12 + 4x

5y + 8 = 4x + 12

Subtract 8 on both sides,

5y + 8 – 8 = 4x + 12 – 8

5y = 4x + 4

Divide 5 on both sides,

5y/y = 4x/5 + 4/5

y = 0.8x + 0.8

The answer is y = 0.8x + 0.8

Example 2:

Solve: (4x ^2 + 9x – 7) + (2x ^2 – 4x + 6)

Solution:

In this problem, we have to add the like terms,

= 4x ^2 + 9x – 7 + 2x ^2 – 4x + 6

= 6x ^2 + 5x - 1

The answer is 6x ^2 + 5x -1.

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Example 3:

Solve 2x + 4 > 10.

Solution:

2x + 4 > 10

Subtract 4 on both sides,

2x + 4 – 4 > 10 – 4

2x > 6

Divide 2 on both sides,

2x/2 > 6/2

x > 3

The answer is x > 3.

Math Help 5th Grade

Introduction to math help 5th grade:
The topics involved in 5th grade math help are number sense, patterns, addition, measurement, subtraction, multiplication, functions,  fractions & mixed numbers, division, algebra, decimals, adding and subtraction of decimals and probability & statistics. In this article we shall discuss about the problems involved in 5th grade math help.

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Math Help 5th Grade Problems:


Example 1:Find the area of a rectangle with base of length is 10 inches and height of 4 inches.

Solution:

Area of a rectangle = length * height

So, Area of a rectangle = 10 *  4

= 40 square inches

Example 2: Find the median of 8, 6, 9, 3, 2, 7

Solution:

Evaluate the total numbers from the given set of values.

From the given set of values, there are totally 6 numbers, Which is even,

Now arrange the total numbers in ascending order,

2, 3, 6, 7, 8, 9

As the given set of numbers is even , Sort out two middle numbers from the above given list of numbers,

Which is  6 & 7 are the two middle numbers,

In order to find the median, add both middle terms and divide by 2,

Adding both numbers `(6+7)/(2)` = 6.5

Therefore median=6.5.

Example 3: Find the value form the expanded form 2 × 10000 + 4× 1000 + 10 × 10 + 8

Solution:  2 × 10000 + 4 × 1000 + 10 × 10 + 8

= 20000 + 4000 + 100 + 8

=> 24108.

Example 4: Find the mode for given set of data. 60, 19, 15, 50, 15, 80, 30

Solution: Mode:The mode is the number that occurs most often in a set of data.

Form the given data set we can say that 15 is the number that has occurred twice.

For the given set of data, Mode = 15.

Example 5: Find the perimeter of a square with length 8.

Solution: The perimeter of a square = 4 * a ( a-> length)

Here length =5, So perimeter of square = 4 * 8 = 32.

Example 6: Find the circumference of a circle with diameter 14.

Solution:  The circumference of a circle = 3.14(pi) * diameter of the circle.

Here diameter = 10, So Circumference of a circle = 3.14 * 14

Therefore the Circumference of a circle =   43.96

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Math Help 5th Grade Practice Problems:


Problem 1:Find the area of a rectangle with base of length is 10 inches and height of 6 inches.

Answer: Area of rectangle =40 square inches.

Problem 2:Find the mode for given set of data. 6, 9, 5, 5, 1, 8, 3

Answer: Mode = 5

Problem 3: Find the value form the expanded form   8× 1000 + 12 × 10 + 10

Answer: 8130