How it works
Free adding mixed fractions worksheets for the step your class is on: like or unlike denominators, with or without regrouping. Subtracting has the same steps. Choose one in Sheet type, press Make a new sheet for new numbers, then press Print.
Read the full guide
Which grade adds which mixed numbers
Common Core 4.NF.3c puts like denominators in grade 4, and unlike denominators arrive in grade 5 with 5.NF.1. Texas draws the same line at 4.3(E) and 5.3(H), without ever saying mixed number. The like-denominator sheets use only 2, 3, 4, 5, 6, 8, 10 and 12, from the Common Core's grade 4 list.
Regrouping and borrowing, one at a time
Adding goes wrong when the fraction parts pass 1: 2 3/5 + 1 4/5 = 3 7/5. The 7/5 must become 1 2/5 to give 4 2/5. Subtracting goes wrong when the first fraction is the smaller: 4 1/5 − 1 3/5 becomes 3 6/5 − 1 3/5 = 2 3/5. Each Adding or Subtracting group in Sheet type has a sheet where this never happens and one where it always does.
- Print Sums that make a whole number the day before borrowing: 3/8 + 5/8 = 1 is the fact borrowing needs.
- For a pupil who always takes the smaller fraction from the larger, switch to Subtract by changing to improper fractions.
- To print without the key, clear Answer key.
Questions and answers
Are there subtracting mixed fractions worksheets here too?
Yes. Two groups in the Sheet type menu are subtraction only, one for like denominators and one for unlike. Mixed fraction is another name for mixed number: a whole number and a proper fraction written together.
Should pupils convert to improper fractions or keep the wholes separate?
Either is sound. Keeping the wholes separate keeps numbers small: 7 1/4 − 2 3/4 = 6 5/4 − 2 3/4 = 4 1/2. Converting avoids borrowing but gives 29/4 − 11/4 = 18/4, which is harder to turn back. One sheet type here converts.
Do you need the least common denominator?
Any common denominator works, but the least keeps numbers small. For 2 3/4 + 1 5/6, twelfths give 2 9/12 + 1 10/12 = 3 19/12 = 4 7/12. Twenty-fourths give 3 38/24, which still needs simplifying. The keys here use the least one.