How it works
Free adding tenths and hundredths fractions worksheets for one grade 4 skill: renaming tenths as hundredths, so that 3/10 + 27/100 becomes 30/100 + 27/100 = 57/100. Sheet type runs from the renaming step alone to sums past one whole. Make a new sheet changes the numbers.
Read the full guide
One standard, and why the key keeps hundredths
Common Core 4.NF.5 asks fourth graders to express a fraction with denominator 10 as an equivalent fraction with denominator 100. Pupils then use that to add. Its example is 3/10 + 4/100 = 34/100. A footnote says unlike denominators in general are not required in grade 4. The standard leaves 34/100 alone, and so do these keys: 17/50 is equal, but it hides the link to 0.34. To leave the key off, clear Answer key.
If you teach in Texas
The Texas standards have no match for this skill as fraction addition. Grade 4 there adds fractions with equal denominators only, 4.3(E). It relates decimals to fractions that name tenths and hundredths, 4.2(G), and adds decimals to the hundredths place, 4.4(A).
- Start with Tenths as hundredths even if it looks too easy. Almost every other sheet opens with that step.
- Tenths + single-digit hundredths has a pattern, 3/10 + 4/100 = 34/100. Tenths + two-digit hundredths breaks it.
- A pupil who answers 30/110 has added the denominators too. Go back to Like denominators warm-up, tenths or hundredths.
Questions and answers
How do you add tenths and hundredths?
Rename the tenths as hundredths: multiply the numerator and the denominator by 10. Then add the numerators and keep the denominator 100: 6/10 + 13/100 = 60/100 + 13/100 = 73/100. Past 100 the sum is more than one whole: 7/10 + 45/100 = 115/100 = 1 15/100.
Why is 3/10 equal to 30/100?
Cutting each tenth into 10 equal pieces gives hundredths: 3 tenths become 30 hundredths, and the amount has not changed. Multiplying the numerator and the denominator by 10 records that cut. It is why 0.3 and 0.30 are the same number.
What grade adds tenths and hundredths?
Grade 4 under the Common Core. Standard 4.NF.5 sits in the same cluster as decimal notation, 4.NF.6, and comparing decimals to hundredths, 4.NF.7. That makes the skill a bridge from fractions to decimals. Other unlike fractions wait for grade 5.
Can you subtract tenths and hundredths the same way?
Yes. Rename the tenths, then subtract the numerators: 57/100 − 3/10 = 57/100 − 30/100 = 27/100. Common Core 4.NF.5 asks only for addition, so Subtract tenths from hundredths is an extra for classes that are ready.