Fractions and decimalsTo 8
Name: Date:
Write each decimal as a fraction in simplest form.
10.5
20.625
30.25
40.2
50.6
60.75
70.375
80.4
90.125
100.8
Decimals to fractions worksheets
Every terminating decimal is a fraction with a power of ten underneath it, and the only work left is simplifying. These free printable worksheets give the decimal and ask for the fraction in lowest terms.
Kid stuck on one? You don’t just get the sheet.
Decimals to fractions
The answer key prints on a separate page.
What's on this sheet
0.5 is five tenths, which reduces to one half. Reading the decimal out loud in words is the entire first step, because the words already say the fraction: "sixty-two hundredths" is 62/100 before anything has been worked out. Children who stall on this topic are almost always reading 0.62 as "nought point six two", which says nothing at all.
Why this sheet works
The number of decimal places tells you the denominator. One place is tenths, two is hundredths, three is thousandths — and that is a place-value fact rather than a fraction one, which is why this sheet is a good check on whether decimal place value is really secure.
How this one works
One question from this sheet, worked through a step at a time.
0.5 as a fraction
0.5=
0.5=
5÷5=1
10÷5=2
=
- A decimal already IS a fraction — 0.5 is 5 tenths. That is what the places after the point mean.
- 5 goes into both 5 and 10, so take it off both: 5 ÷ 5 = 1 and 10 ÷ 5 = 2. 5/10 and 1/2 are the same amount, and 2 is as far down as it goes.