Equivalent fractions to 10ths, 100ths and 1000ths | KS2 Maths

What you need to know

Things to remember:

  • We can think of the fractions as their place values.
  • If there are 0s on the ends of the numbers in the fraction, we can divide by 10.

What is \dfrac{30}{100} as an equivalent fraction in tenths?

Well, let’s think about it. We are told that there are “30 hundredths”, but we know that 10 hundredths make 1 tenth, so how many tenths do we have here?


30\text{ Hundredths }= 3\text{ Tenths }

Or, if we were to write these both as fractions:


Notice how this is the same as just taking a 0 off the top and bottom, which is just dividing both by 10.


And whenever we have 0s on the top and bottom we can do this.




We don’t just have to do this with tenths and hundredths, we can do this for bigger numbers like thousandths too!



But did we have to stop there? We can divide by 10 again for \frac{60}{100}



So, as long as we have 0s at the ends of the numbers in the fraction, we can divide by 10!

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