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Value in Everyone

Today in maths, we are going to be focusing on converting fractions to decimals.

Yesterday we looked at converting between fractions and decimals when the denominator of the fraction was either 10 or 100.

In order to convert the fraction to a decimal, the denominator must be 100. If you have a denominator that is not 100, you need to find an equivalent fraction to make sure that the denominator is 100.

For example:

15/50 – this is the fraction, but I want to convert it to a decimal.

I need to make sure that the denominator is 100. So, I need to find a common fraction that will make the denominator 100.

To get from 50 to 100 (the denominator) I can multiply by 2.

Whatever I do to the bottom, I must do to the top.

So, I now need to multiply 15 by 2 which equals 30.

So, my new equivalent fraction would be 30/100.

Now that I have a fraction with the denominator as 100, I can change it into a decimal which would be 0.3.

This means that 15/50 as a decimal = 0.3

Let’s look at another example:

9/20 is the fraction and I want to convert it to a decimal.

Straight away I know that before I can change it to a decimal, the denominator must be 100.

To get from 20 to 100 I know I need to multiply by 5.

It is important to remember that whatever I do to the bottom, I do to the top, so I need to multiply 9 x 5 = 45.

My new equivalent fractions is 45/100 and I can turn that into a decimal which would be 0.45.

I hope these examples have explained today’s learning a little bit, now it’s time to have a go!

Miss Pearce and Mrs Watson’s maths group:

Watch the video and complete the worksheet. Remember to pause the video when it tells you to.

Video link: Spr6.2.5 - Fractions to decimals (1) on Vimeo

The questions are on the worksheet below.

Miss Wilcox and Miss Doran’s maths group:

Have a go at the attached sheet. There are some questions that relate to the examples above.

**You don’t need to print the worksheet; you can write your answers in your book. **

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