Math Grade 4 Fraction

Introduction for math grade 4 fraction:
A fraction is a part of a whole. Fractions consist of two numbers. The top number is called the numerator. The bottom number is called the denominator.

Numerator
denominator

In a fraction, if the numerator is smaller than the denominator, it is called as proper fraction. Proper fractions are in completely reduced form. If the numerator is bigger than the denominator, this type of fractions is called as improper fractions. If a fraction is constructed by a whole number and a proper fraction is called as mixed fraction.

For example, `4/5` is a proper fraction (4 < 5)

`6/2 ` is an improper fraction (6 > 2)

2 `1/3 ` is a mixed fraction (2 is a whole number, `1/3 ` is a proper fraction)


Math 4 grade fraction – Methods and example problems:


Math 4 grade fraction - Adding fraction and adding unlike denominator:

Math 4 grade fraction- Addition fraction - Steps and problem:

To add algebraic fraction, follow these steps:

Write the given fraction and common denominator.
Added the numerators value.
Solution for the problem
Example:

` 2 / 5` + `8 / 5`

Solution:

`2 / 5` + `8 / 5`

= `(2 + 8) / 5`

= `10 / 5`

= 2

Math 4 grade fraction - Adding fraction involving unlike denominator – Steps and problem:

1. Express the fraction as equivalent fraction by finding the lowest common denominator (LCD) (the least numbers into which the denominator of two or more fractions will go evenly).

2. Add the numerator and place the sum over the lowest common denominator.

Example:

`5 / 6` + `4 / 3` =?

Solution:

These two fractions do not have the same denominators (lower numbers), so we must first find a common denominator of the two fractions, before adding them together.

For the denominators here, the 6 and 3, a common denominator for both is 6. LCD = 6

`5 / 6` = `5 / 6`

` 4 / 3 ` = `8 / 6`

`5 / 6` + `8 / 6 ` = `(5 + 8) / 6`

Answer = `13 / 6`

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Math 4 grade fraction - Subtracting fraction and subtracting unlike denominator:


Math 4 grade fraction - Subtraction fraction - Steps and problem:

To subtraction algebraic fraction, follow these steps:

Write the given fraction and common denominator.
Subtracted the numerators value.
Solution for the problem
Example:

`8 / 3 ` – `4 / 3`

Solution:

` 8 / 3` – `4 / 3`

= `(8-4)/3`

= `4 / 3`

Math 4 grade fraction - Subtracting fraction unlike denominator - Steps and problem:

1. Express the fraction as equivalent fraction by finding the lowest common denominator (LCD).

2. Subtract the numerator and place your answer over the lowest common denominator.

Example:

`15 / 4` – `6 / 2 ` =?

Solution:

These two fractions do not have the same denominators (lower numbers), so we must first find a common denominator of the two fractions, before subtracting them together.

For the denominators here, the 4 and 2, a common denominator for both is 4. LCD = 4

` 15 / 4 ` = `15 / 4`

`6 / 2` = `12 / 4`

` (15 / 4) ` – `(12 / 4) ` =  ` (15-12) / 4`

Answer = `3 / 4`