Fractions

UK Secondary (7-11)

Dividing non unit fractions by whole numbers

Lesson

Now that we have seen how to divide a fraction by a whole number, it's just one more step to be able to divide any fraction by a whole number. We're still *sharing* our fractions, but we are starting with a larger part of something. It's handy to remember the reciprocal of a number, as we'll be using that to solve our problems.

Let's see how we can divide our fraction by a whole number, in this video.

The rule

When you need to divide a fraction by a whole number, you can multiply the fraction by the reciprocal of the whole number.

Evaluate $\frac{3}{5}\div4$35÷4 giving your answer as a simplified fraction.

Evaluate $\frac{4}{7}\div2$47÷2 giving your answer as a simplified fraction.

Evaluate $\frac{90}{16}\div3$9016÷3 giving your answer as an improper fraction.