 What you need to know

Things to remember:

• In a sequence of fractions, the numbers on the bottom stay the same.
• We only need to look at the top numbers to see how they change.

Remember, 10ths are just how we divide by 10. $$\frac{4}{10}, \frac{5}{10},\frac{6}{10}$$

If we cover the 10s and just look at the tops of the fractions, we can see that they’re going up just like whole numbers. So, if we count up 4, 5, 6, then the next number must be 7. So, the next fraction in the sequence will be $\frac{7}{10}$.

We do the same for 100ths as well. Let’s look at the 100ths between $\frac{80}{100}$ and $\frac{90}{100}$. Find the next fraction in the sequence:

$$\frac{87}{100}, \frac{88}{100},\frac{89}{100}$$

If we cover the 100s and just look at the tops of the fractions, we can see that they’re going up just like whole numbers. So, if we count up 87, 88, 89, then the next number must be 90. So, the next fraction in the sequence will be $\frac{90}{100}$.

We need to be careful though, sequences won’t always go up in 1s!

Find the next fraction in the sequence:

$$\frac{1}{10}, \frac{3}{10}, \frac{5}{10}$$

If we look at the top numbers, we can see that they go up by 2 each time. $5+2=7$, so the next fraction will be $\frac{7}{10}$.

Find the next fraction in the sequence:

$$\frac{10}{100}, \frac{13}{100}, \frac{16}{100}$$

If we look at the top numbers, we can see that they go up by 3 each time. $16+3=19$, so the next fraction will be $\frac{19}{100}$.

Example Questions

If we look at the top numbers, we can see that they go up by 2 each time. $6+2=8$, so the next fraction will be $\dfrac{8}{10}$.

If we look at the top numbers, we can see that they go up by 4 each time. $21+4=25$, so the next fraction will be $\dfrac{25}{100}$.