## What you need to know

Things to remember:

• Turn the whole number into a fraction with the same denominator as the fraction in the question.

A mixed number is a whole number and a fraction put (added) together. For example, $3\dfrac{2}{6}$ means 3 wholes and $\dfrac{2}{6}$

$$3\dfrac{2}{6}$$

If we count up all of the sixths, we can see that we have $\dfrac{20}{6}$

We don’t have to draw the diagram though, we can split up the whole number into lots of 1s and turning them into fractions with the same denominator.

$$1+1+1+\frac{2}{6}$$

$$\frac{6}{6}+\frac{6}{6}+\frac{6}{6}+\frac{2}{6}$$

$$\frac{20}{6}$$

We can also do this in a fancy way with 3 Steps:

Step 1: Multiply the whole number by the bottom of the fraction

$$3\times6=18$$

Step 2: Add the number in Step 1 to the top of the fraction

$$18+2=20$$

Step 3: Put the number in Step 2 over the bottom of the fraction.

$$3\dfrac{2}{6}=\dfrac{20}{6}$$

## Example Questions

#### Question 1: What is $2\dfrac{1}{5}$ as a top heavy fraction?

$$1+1+\frac{1}{5}$$

$$\frac{5}{5}+\frac{5}{5} +\frac{1}{5}$$

$$\frac{11}{5}$$

Step 1: Multiply the whole number by the bottom of the fraction

$$2\times5=10$$

Step 2: Add the number in Step 1 to the top of the fraction

$$10+1=11$$

Step 3: Put the number in Step 2 over the bottom of the fraction.

2\frac{1}{5}=\frac{11}{5}[latex]

Question 2: What is [latex]4\dfrac{4}{7}

as a top heavy fraction?

#### Question 2: What is $4\dfrac{4}{7}$ as a top heavy fraction?

$$1+1+1+1+\dfrac{4}{7}$$

$$\frac{7}{7}+\frac{7}{7}+\frac{7}{7}+\frac{7}{7}+\frac{4}{7}$$

$$\frac{32}{7}$$

Step 1: Multiply the whole number by the bottom of the fraction

$$4\times7=28$$

Step 2: Add the number in Step 1 to the top of the fraction

$$28+4=32$$

Step 3: Put the number in Step 2 over the bottom of the fraction.

 4\frac{4}{7}=\frac{32}{7}