Watch this video to understand more about tenths, hundredths and equivalence.

Equivalence is when things might not look the same, but they have the same value.

Take a look back at fractions as area models or on a number line to review your understanding of fractions up to tenths.

The diagram below shows four tenths shaded (because there are ten columns and four are shaded). You can see there are ten hundredths in each tenth, so it also shows forty hundredths.

Example 1

How many hundredths are in $\frac{7}{10}$710?

To convert tenths to hundredths we can multiply by ten because there are ten hundredths in every tenth. So $\frac{7}{10}=\frac{70}{100}$710=70100

Try this question for yourself.

question 1:

Write $\frac{7}{10}$710 as an equivalent fraction out of $100$100:

$\frac{7}{10}=\frac{\editable{}}{100}$710=100

Example 2

How many tenths are in $\frac{60}{100}$60100?

To convert from hundredths to tenths we do the opposite (divide by ten). So $\frac{60}{100}=\frac{6}{10}$60100=610

Try this question for yourself.

question 2

Write $\frac{20}{100}$20100 as an equivalent fraction out of $10$10:

When fractions have different denominators it is difficult to compare and use them. So we can convert the fractions above to show hundredths. We do this by multiplying the tenths by ten to get their equivalent fractions in hundredths.