Step by step
The question
Question: share 132 in the ratio 5 to 6.
Share 132 in the ratio 5 : 6
The ratio says how many equal parts each one gets: 5 for the first and 6 for the second.
1st: 5 parts, 2nd: 6 parts
Careful!
5 to 6 does not mean dividing 132 by 5 and by 6.
It counts parts of the same size.
Careful: not 132 ÷ 5, 132 ÷ 6 ✗
1 Count the parts
All together there are 5 plus 6: 11 equal parts.
= 5 + 6 = 11 parts
2 Draw the bar
3 Find one part
11 parts make 132.
So one part is 132 divided by 11: 12.
= 1 part = 132 ÷ 11 = 12
Every part is 12.
4 Find each share
The first share has 5 parts: 5 times 12 is 60.
= 1st: 5 × 12 = 60
The second share has 6 parts: 6 times 12 is 72.
= 2nd: 6 × 12 = 72
So the shares are 60 and 72.
= 60 and 72
5 Check
Let's check.
The shares add up: 60 plus 72 is 132.
60 + 72 = 132
And divided by 12, they give 5 to 6 again.
So the answer is right!
60 : 72 → ÷ 12 → 5 : 6
Let's look back.
First: count the parts.
Then: draw the bar.
Then: find one part.
Then: find each share.
Last: check.
Answer
= 60 and 72