Question

How can you divide a fraction by a fraction

Answer 1

In order to divide fraction by fraction you need to flip(reciprocal) the second fraction and change divisions into multiplication and then multiple then you will get your answer.

Answer 2

It's important to understand that dividing by a fraction means the same thing as multiplying by the reciprocal of that fraction. In other words, we can simply change the division symbol to multiplication and flip the second fraction.

Let's look at an example.

Simplify the following:

$(\frac{1}{4}) divided by (\frac{2}{3})$

Remember, we can divide fractions by simply changing the division sign to multiplication and we can flip the second fraction.

So we can rewrite 1/4 ÷ 2/3 as 1/4 × 3/2.

Now we can simply multiply across the numerators and multiply across denominators to get 3/8.

I have also attached my work in the image attached.