Finding Fractions of a Whole Number | Year 4 Maths Resources

## What you need to know

Things to remember:

• We start by dividing by the bottom of the fraction.
• We then multiply the top of the fraction.

Before we get started, let’s have a quick look back at what a fraction is;

$$\frac{5}{100} = \frac{\leftarrow Numerator}{\leftarrow Denominator}$$

The bottom of the fraction tells us how many equal pieces we cut something into, and the top tells us how many lots of it we take.

We can find fraction amounts of something in two steps.

What is $\dfrac{7}{8}$ of 40.

Step 1: Divide by the bottom of the fraction.

$$40\div8=5$$

Step 2: Multiply Step 1 by the top of the fraction.

$$5\times7=35$$

So, $\dfrac{7}{8}$ of 40 is 35.

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## Example Questions

Step 1: Divide by the bottom of the fraction.

$$36\div6=6$$

Step 2: Multiply Step 1 by the top of the fraction.

$$6\times2=12$$

So, $\frac{2}{6}$ of 36 is 12.

Step 1: Divide by the bottom of the fraction.

$$49\div7=7$$

Step 2: Multiply Step 1 by the top of the fraction.

$$7\times5=35$$

So, $\frac{5}{7}$ of 49 is 35.

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