### Fraction of an amount

To find the fraction of a number / amount , or the exact opposite, to find the whole number of a fraction it is important to know unit fractions.

- Fractions are made up of equal parts
- One of the equal parts is called a unit fraction

For example; the unit fraction of \( \displaystyle \frac{4}{6} \) is \( \displaystyle \frac{1}{6} \)

\( \displaystyle \frac{4}{6} \) is made up of 4 , \( \displaystyle \frac{1}{6} \)

Our goal is to find the value of one part of the fraction.

If you can find the value of one unit fraction you can calculate the value of several pieces of the fraction.

We must divide 20 into 4 equal parts and find the value of one unit fraction.

**\( \displaystyle 20:4=5 \)**

**\( \displaystyle \frac{1}{4} \) of 20 = 5**

9 pieces are equal to 36, we must find one piece , ( \( \displaystyle \frac{1}{9} \) )multiply with 7, we will find the value of the 7 that is being asked of us.

**\( \displaystyle 36:9=4 \)**

this is the value of a piece

**\( \displaystyle \frac{1}{9}=4 \)**

To find the value of 7 let us multiply by 7,

**\( \displaystyle 7.4=28 \)**

**\( \displaystyle \frac{7}{9}\) of 36 = 28**

## Finding the whole number of a fraction

if \( \displaystyle \frac{4}{6}\) of number is 100 , what is the whole value of the number?

First let’s understand what we have and what is wanted?

If the value of 4 pieces is 100, let us divide 100 by 4 to find the value of 1 piece.

**\( \displaystyle 100:4=25 \)**

The value of

**\( \displaystyle \frac{1}{6}\) =25**
Our goal is to find the whole value of \( \displaystyle \frac{6}{6}\) If one piece is 25 then;

**\( \displaystyle 6.25=150 \)**

**The whole number = 150**

if

**\( \displaystyle \frac{5}{8}\) ’th of a number is 40 what is the whole value of the number?**
If the value of 5 pieces is 40, let us divide 40 by 5.

**\( \displaystyle 40:5=8 \) is the value of one part.**

\( \displaystyle \frac{1}{8}=8\)

The whole of it,

**\( \displaystyle \frac{8}{8}=64\)**

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