## What you need to know

**Things to remember:**

- When dividing fraction, we use the KFC method (Keep, Flip, Change).
- We flip the fraction we are dividing, and then multiply with the first fraction.

When we divide fraction, it involves “flipping” one and then multiplying the new fraction with the old. Let’s just have a look back at how we multiply fractions.

\frac{7}{5}\times\frac{2}{9}=\frac{7\times2}{5\times9}=\frac{14}{45}

\frac{9}{12}\times\frac{11}{7}=\frac{11\times9}{12\times7}=\frac{99}{84}

So, to multiply fractions, we just multiply the tops and bottoms together. Division, however, is a little different…

*What is \dfrac{4}{9}\div\dfrac{5}{7}?*

To divide fractions, we **keep **the first one the same, **flip **the second one, and **change** the division into a multiplication. We call this the **KFC **method for short.

So, this division question has tuned into a multiplication question, which we know how to do!

\frac{4}{9}\times\frac{7}{5}=\frac{4\times7}{9\times5}=\frac{28}{45}

\frac{4}{9}\div\frac{5}{7}=\frac{28}{45}

So, we did this in 4 steps.

*What is \dfrac{8}{5}\div\dfrac{7}{3}?*

**Step 1: **Leave the fraction before the division alone.

**Step 2: **Flip the fraction after the division.

\frac{7}{3}\rightarrow\frac{3}{7}

**Step 3: **Change the division into a multiplication and multiply the fractions.

\div\rightarrow\times

\frac{8}{5}\times\frac{3}{7}=\frac{8\times3}{5\times7}=\frac{24}{35}

**Step 4:** Check to see if it simplifies

This doesn’t simplify, so our answer is:

\frac{8}{5}\div\frac{7}{3}=\frac{24}{35}

## KS2 SATs Flash Cards

(43 Reviews) £8.99## Example Questions

**Question 1:** *What is \dfrac{6}{5}\div\dfrac{9}{4}?*

**Step 1: **Leave the fraction before the division alone.

**Step 2: **Flip the fraction after the division.

\frac{9}{4}\rightarrow\frac{4}{9}

**Step 3: **Change the division into a multiplication and multiply the fractions.

\div\rightarrow\times

\frac{6}{5}\times\frac{4}{9}=\frac{6\times4}{5\times9}=\frac{24}{45}

**Step 4:** Check to see if it simplifies

This one does simplify.

\frac{24}{45} =\frac{24\div3}{45\div3}=\frac{8}{15}

\frac{6}{5}\div\frac{9}{4}=\frac{8}{15}

**Question 2:** *What is \dfrac{13}{11}\div\dfrac{7}{5}?*

**Step 1: **Leave the fraction before the division alone.

**Step 2: **Flip the fraction after the division.

\frac{7}{5}\rightarrow\frac{5}{7}

**Step 3: **Change the division into a multiplication and multiply the fractions.

\div\rightarrow\times

\frac{13}{11}\times\frac{5}{7}=\frac{13\times5}{11\times7}=\frac{65}{77}

**Step 4:** Check to see if it simplifies

This one doesn’t simplify.

\frac{13}{11}\div\frac{7}{5}=\frac{65}{77}

## KS2 SATs Flash Cards

(43 Reviews) £8.99- All of the major KS2 Maths SATs topics covered
- Practice questions and answers on every topic

- Perfect for year 6 Maths SATs
- All exam boards e.g. AQA, OCR, Edexcel, WJEC.