View largerFractions to decimals chart
Common fractions as tenths and hundredths and as decimals: halves, fourths, fifths and tenths
1 page51 KB
Fractions to Decimals
A fraction to decimal conversion chart from halves to twelfths, and worksheets for changing fractions to decimals and decimals to fractions. With keys.
Download the fractions to decimals worksheets
Fractions to decimals charts
View larger
View largerFraction to decimal conversion chart
Every fraction from halves to twelfths as a decimal, with repeating decimals marked by a bar
1 page58 KB
Change fractions to decimals and back
View all 2 pagesFractions to Decimals: tenths
Writing tenths as decimals and decimals in tenths as fractions
Answer key on page 2
2 pages38 KB
View all 2 pagesFractions to Decimals: hundredths
Writing hundredths as decimals, including fractions like 7/100 = 0.07
Answer key on page 2
2 pages38 KB
View all 2 pagesDecimals to fractions
Writing decimals in tenths and hundredths as fractions and mixed numbers with denominators 10 and 100
Answer key on page 2
2 pages38 KB
View all 2 pagesFractions to Decimals: make tenths
Changing halves, fourths, fifths, twentieths, twenty-fifths and fiftieths to tenths or hundredths, then to decimals
Answer key on page 2
2 pages48 KB
View all 2 pagesFractions, decimals and grids
Matching a hundredths grid, a fraction, a decimal and words for the same amount
Answer key on page 2
2 pages46 KB
View all 2 pagesMixed numbers and decimals
Writing mixed numbers with tenths and hundredths as decimals, and decimals greater than 1 as mixed numbers
Answer key on page 2
2 pages40 KB
Print at 100% (actual size) for the cleanest tracing lines.
About these fractions to decimals worksheets
To change a fraction to a decimal, find an equal fraction with a denominator of 10 or 100. 3/4 = 75/100, so 3/4 = 0.75. 2/5 = 4/10, so 2/5 = 0.4. Fractions with a denominator of 10 or 100 can be written straight away: 7/100 = 0.07.
To change a decimal to a fraction, read it: 0.6 is six tenths, 6/10, and 0.45 is forty-five hundredths, 45/100. A decimal greater than 1 becomes a mixed number: 2.3 = 2 3/10.
The full conversion chart lists every fraction from halves to twelfths. Some fractions, like 1/3, make decimals that repeat forever (0.333...), shown with a bar over the repeating digits. The worksheets practice the 4th grade fractions with denominators 10 and 100, and halves, fourths and fifths. Every practice page has an answer key.
Standards
CCSS.MATH.CONTENT.4.NF.C.5Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.CCSS.MATH.CONTENT.4.NF.C.6Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.
How to use them
- Hang the Fractions to Decimals Chart and keep the full conversion chart for reference.
- Practice tenths, then hundredths, then decimals to fractions.
- Use Make Tenths for halves, fourths, fifths and other denominators that divide 100.
Teaching tips
- Watch for 7/100: it is 0.07, not 0.7.
- Say the decimal as a fraction to check it.
- Memorize the common ones: 1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75, 1/5 = 0.2.
Questions teachers and parents ask
How do you convert a fraction to a decimal?
Make an equal fraction with a denominator of 10 or 100, then write the numerator after the decimal point: 3/5 = 6/10 = 0.6. Any fraction can also be divided out, numerator ÷ denominator, which is how the full chart is made.
What is 1/8 as a decimal?
0.125. Eighths need three decimal places, so 4th graders meet them on the chart rather than the worksheets.
Why does 1/3 never end as a decimal?
Dividing 1 by 3 leaves a remainder of 1 every time, so the 3s repeat forever: 0.333... The chart shows this with a bar over the 3.