Improper fractions to mixed numbers, step by step
An improper fraction and a mixed number are two spellings of the same amount.
The question
= ?
7×1=one whole
10÷7=1 r 3
=1
- 10/7 means 10 sevenths. It takes 7 of them to fill one whole, and there are more than that here — so the real question is how many whole ones are hiding inside 10 sevenths.
- That is a division, and it is the only arithmetic in the question: 10 ÷ 7 = 1, with 3 left over.
- The 1 is whole ones and the 3 left over is still sevenths — the leftovers never change size. So 10/7 = 1 and 3/7.
How it works.
- 01
10/7 means 10 sevenths. It takes 7 of them to fill one whole, and there are more than that here — so the real question is how many whole ones are hiding inside 10 sevenths.
- 02
That is a division, and it is the only arithmetic in the question: 10 ÷ 7 = 1, with 3 left over.
- 03
The 1 is whole ones and the 3 left over is still sevenths — the leftovers never change size. So 10/7 = 1 and 3/7.