Turn the fraction into tenths, hundredths or thousandths (3/4 = 75/100 = 0.75), then compare decimals place by place.
decimala number with a point: 0.75
fractionparts of a whole: 3/4
equivalentthe same amount written another way
simplest forma fraction that can't be made smaller
Watch for: Writing 3/4 as 0.34. Thinking 0.4 is less than 0.35 because 4 is less than 35. Comparing 3/8 and 0.4 without changing one to match the other.
At home: In the kitchen, talk about 1/4 cup as 0.25 cup. Ask which is more: 3/8 of a pizza or 0.4 of it.
Sample sheet and answer key
Luna's Space Adventure
Grade 5 · Fractions and decimals together · 5.NS.1
NameDate
Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!
Fraction to decimal
Make the denominator 10, 100 or 1,000, or divide.
120=58=34=12=45=320=35=25=1125=
Decimal to fraction
Write it over 10, 100 or 1,000, then simplify.
0.375 =0.45 =0.6 =0.4 =0.35 =0.625 =
Greater, less or equal?
Change one so both are decimals.
0.33101200.14340.610.59587200.420.4325
Put them in order
Least to greatest, then greatest to least.
3/5 · 0.52 · 0.09 · 1/4
0.26 · 0.51 · 1/4 · 7/10
Grade 5 · Sheet
Luna's Space Adventure
Grade 5 · Fractions and decimals together · 5.NS.1
Answer key
Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!
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