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Share 24 in the ratio 1 : 2

Step by step, with the reason for every step · Sharing in a ratio · Foundations

Step by step

The question

Question: share 24 in the ratio 1 to 2.

Share 24 in the ratio 1 : 2

The ratio says how many equal parts each one gets: 1 for the first and 2 for the second.

1st: 1 part, 2nd: 2 parts

Careful!

1 to 2 does not mean dividing 24 by 1 and by 2.

It counts parts of the same size.

Careful: not 24 ÷ 1, 24 ÷ 2 ✗

1 Count the parts

All together there are 1 plus 2: 3 equal parts.

= 1 + 2 = 3 parts

2 Draw the bar

3 Find one part

3 parts make 24.

So one part is 24 divided by 3: 8.

= 1 part = 24 ÷ 3 = 8

Every part is 8.

4 Find each share

The first share has 1 part: 1 times 8 is 8.

= 1st: 1 × 8 = 8

The second share has 2 parts: 2 times 8 is 16.

= 2nd: 2 × 8 = 16

So the shares are 8 and 16.

= 8 and 16

5 Check

Let's check.

The shares add up: 8 plus 16 is 24.

8 + 16 = 24

And divided by 8, they give 1 to 2 again.

So the answer is right!

8 : 16 → ÷ 8 → 1 : 2

Let's look back.

First: count the parts.

Then: draw the bar.

Then: find one part.

Then: find each share.

Last: check.

Answer
= 8 and 16

Your turn

Try this one yourself, then check:

Share 24 in the ratio 1 : 7
Show the answer
3 and 21

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