Tenths and hundredths, step by step
Three tenths plus four hundredths is thirty-four hundredths.
The question
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same size:100ths
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- Tenths and 100ths are different sizes of piece. Two different sizes cannot be counted as one total — that is the whole difficulty here.
- Both can be cut into 100ths: 10 goes into 100, and so does 100. So 100 is the size to use.
- 6/10 is the same amount as 60/100, and 33/100 is the same amount as 33/100. Nothing has got bigger — the pieces just got smaller and there are more of them.
- Now they are the same size, so count them: 60 + 33 = 93, giving 93/100.
How it works.
- 01
Tenths and 100ths are different sizes of piece. Two different sizes cannot be counted as one total — that is the whole difficulty here.
- 02
Both can be cut into 100ths: 10 goes into 100, and so does 100. So 100 is the size to use.
- 03
6/10 is the same amount as 60/100, and 33/100 is the same amount as 33/100. Nothing has got bigger — the pieces just got smaller and there are more of them.
- 04
Now they are the same size, so count them: 60 + 33 = 93, giving 93/100.