Mixed numbers worksheet

Turn each mixed number into an improper fraction first and the four operations are the ones you already know. Turn the answer back at the end.

Select your difficulty

Pick more than one for a sheet that mixes them.

The preview can look cramped on a phone. The PDF and printed sheet come out normal.



Sigma Prep · sigmaprep.io/worksheets Name Mixed Numbers Date Period Simplify or solve each. Give answers in lowest terms, as mixed numbers when greater than 1 or less than −1, unless asked for an improper fraction. Add and subtract mixed numbers $6 \frac{1}{2} - 5 \frac{3}{4}$ $7 \frac{1}{2} + 6 \frac{1}{4}$ $5 \frac{1}{3} - 8 \frac{5}{6}$ $5 \frac{1}{2} + 7 \frac{3}{4}$ $8 \frac{1}{4} - 6 \frac{5}{6}$ Multiply and divide mixed numbers $4 \frac{4}{5} \div 4 \frac{2}{5}$ $2 \frac{5}{8} \times 4 \frac{1}{6}$ $2 \frac{2}{5} \div 6 \frac{2}{5}$ $6 \frac{1}{6} \times 4 \frac{3}{5}$ $2 \frac{1}{6} \div 5 \frac{5}{6}$ Solve word problems with mixed numbers A recipe uses $3 \frac{1}{5}$ cups of flour per batch. How much flour is needed for $2 \frac{2}{3}$ batches? A board $6 \frac{2}{5}$ ft long is cut into pieces $1 \frac{3}{5}$ ft long. How many pieces are there? Mia walked $4 \frac{1}{3}$ miles and Ravi walked $1 \frac{5}{6}$ miles. How much farther did Mia walk? A board $11$ ft long is cut into pieces $2 \frac{1}{5}$ ft long. How many pieces are there? Mia walked $4 \frac{2}{3}$ miles in the morning and $1 \frac{1}{3}$ miles in the afternoon. How far did she walk in all? Multiply and divide negative mixed numbers $(- 3 \frac{1}{3}) \div 2 \frac{1}{3}$ $(- 1 \frac{1}{3}) \times (- 2 \frac{1}{5})$ $1 \frac{1}{2} \times (- 3 \frac{3}{5})$ $(- 3 \frac{1}{5}) \div (- 3 \frac{1}{3})$ $(- 1 \frac{1}{2}) \times 3 \frac{2}{3}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Mixed Numbers

Date Period

Simplify or solve each. Give answers in lowest terms, as mixed numbers when greater than 1 or less than −1, unless asked for an improper fraction.

Add and subtract mixed numbers
$6 \frac{1}{2} - 5 \frac{3}{4}$
$7 \frac{1}{2} + 6 \frac{1}{4}$
$5 \frac{1}{3} - 8 \frac{5}{6}$
$5 \frac{1}{2} + 7 \frac{3}{4}$
$8 \frac{1}{4} - 6 \frac{5}{6}$

Multiply and divide mixed numbers
$4 \frac{4}{5} \div 4 \frac{2}{5}$
$2 \frac{5}{8} \times 4 \frac{1}{6}$
$2 \frac{2}{5} \div 6 \frac{2}{5}$
$6 \frac{1}{6} \times 4 \frac{3}{5}$
$2 \frac{1}{6} \div 5 \frac{5}{6}$

Solve word problems with mixed numbers
A recipe uses $3 \frac{1}{5}$ cups of flour per batch. How much flour is needed for $2 \frac{2}{3}$ batches?
A board $6 \frac{2}{5}$ ft long is cut into pieces $1 \frac{3}{5}$ ft long. How many pieces are there?
Mia walked $4 \frac{1}{3}$ miles and Ravi walked $1 \frac{5}{6}$ miles. How much farther did Mia walk?
A board $11$ ft long is cut into pieces $2 \frac{1}{5}$ ft long. How many pieces are there?
Mia walked $4 \frac{2}{3}$ miles in the morning and $1 \frac{1}{3}$ miles in the afternoon. How far did she walk in all?

Multiply and divide negative mixed numbers
$(- 3 \frac{1}{3}) \div 2 \frac{1}{3}$
$(- 1 \frac{1}{3}) \times (- 2 \frac{1}{5})$
$1 \frac{1}{2} \times (- 3 \frac{3}{5})$
$(- 3 \frac{1}{5}) \div (- 3 \frac{1}{3})$
$(- 1 \frac{1}{2}) \times 3 \frac{2}{3}$



Sigma Prep · sigmaprep.io/worksheets Name Mixed NumbersAnswer keyVersion 1 Date Period Simplify or solve each. Give answers in lowest terms, as mixed numbers when greater than 1 or less than −1, unless asked for an improper fraction. Add and subtract mixed numbers $6 \frac{1}{2} - 5 \frac{3}{4}$ $\frac{3}{4}$ $7 \frac{1}{2} + 6 \frac{1}{4}$ $13 \frac{3}{4}$ $5 \frac{1}{3} - 8 \frac{5}{6}$ $- 3 \frac{1}{2}$ $5 \frac{1}{2} + 7 \frac{3}{4}$ $13 \frac{1}{4}$ $8 \frac{1}{4} - 6 \frac{5}{6}$ $1 \frac{5}{12}$ Multiply and divide mixed numbers $4 \frac{4}{5} \div 4 \frac{2}{5}$ $1 \frac{1}{11}$ $2 \frac{5}{8} \times 4 \frac{1}{6}$ $10 \frac{15}{16}$ $2 \frac{2}{5} \div 6 \frac{2}{5}$ $\frac{3}{8}$ $6 \frac{1}{6} \times 4 \frac{3}{5}$ $28 \frac{11}{30}$ $2 \frac{1}{6} \div 5 \frac{5}{6}$ $\frac{13}{35}$ Solve word problems with mixed numbers A recipe uses $3 \frac{1}{5}$ cups of flour per batch. How much flour is needed for $2 \frac{2}{3}$ batches? $8 \frac{8}{15}$ cups A board $6 \frac{2}{5}$ ft long is cut into pieces $1 \frac{3}{5}$ ft long. How many pieces are there? $4$ Mia walked $4 \frac{1}{3}$ miles and Ravi walked $1 \frac{5}{6}$ miles. How much farther did Mia walk? $2 \frac{1}{2}$ miles A board $11$ ft long is cut into pieces $2 \frac{1}{5}$ ft long. How many pieces are there? $5$ Mia walked $4 \frac{2}{3}$ miles in the morning and $1 \frac{1}{3}$ miles in the afternoon. How far did she walk in all? $6$ miles Multiply and divide negative mixed numbers $(- 3 \frac{1}{3}) \div 2 \frac{1}{3}$ $- 1 \frac{3}{7}$ $(- 1 \frac{1}{3}) \times (- 2 \frac{1}{5})$ $2 \frac{14}{15}$ $1 \frac{1}{2} \times (- 3 \frac{3}{5})$ $- 5 \frac{2}{5}$ $(- 3 \frac{1}{5}) \div (- 3 \frac{1}{3})$ $\frac{24}{25}$ $(- 1 \frac{1}{2}) \times 3 \frac{2}{3}$ $- 5 \frac{1}{2}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Mixed NumbersAnswer keyVersion 1

Date Period

Simplify or solve each. Give answers in lowest terms, as mixed numbers when greater than 1 or less than −1, unless asked for an improper fraction.

Add and subtract mixed numbers
$6 \frac{1}{2} - 5 \frac{3}{4}$ $\frac{3}{4}$
$7 \frac{1}{2} + 6 \frac{1}{4}$ $13 \frac{3}{4}$
$5 \frac{1}{3} - 8 \frac{5}{6}$ $- 3 \frac{1}{2}$
$5 \frac{1}{2} + 7 \frac{3}{4}$ $13 \frac{1}{4}$
$8 \frac{1}{4} - 6 \frac{5}{6}$ $1 \frac{5}{12}$

Multiply and divide mixed numbers
$4 \frac{4}{5} \div 4 \frac{2}{5}$ $1 \frac{1}{11}$
$2 \frac{5}{8} \times 4 \frac{1}{6}$ $10 \frac{15}{16}$
$2 \frac{2}{5} \div 6 \frac{2}{5}$ $\frac{3}{8}$
$6 \frac{1}{6} \times 4 \frac{3}{5}$ $28 \frac{11}{30}$
$2 \frac{1}{6} \div 5 \frac{5}{6}$ $\frac{13}{35}$

Solve word problems with mixed numbers
A recipe uses $3 \frac{1}{5}$ cups of flour per batch. How much flour is needed for $2 \frac{2}{3}$ batches? $8 \frac{8}{15}$ cups
A board $6 \frac{2}{5}$ ft long is cut into pieces $1 \frac{3}{5}$ ft long. How many pieces are there? $4$
Mia walked $4 \frac{1}{3}$ miles and Ravi walked $1 \frac{5}{6}$ miles. How much farther did Mia walk? $2 \frac{1}{2}$ miles
A board $11$ ft long is cut into pieces $2 \frac{1}{5}$ ft long. How many pieces are there? $5$
Mia walked $4 \frac{2}{3}$ miles in the morning and $1 \frac{1}{3}$ miles in the afternoon. How far did she walk in all? $6$ miles

Multiply and divide negative mixed numbers
$(- 3 \frac{1}{3}) \div 2 \frac{1}{3}$ $- 1 \frac{3}{7}$
$(- 1 \frac{1}{3}) \times (- 2 \frac{1}{5})$ $2 \frac{14}{15}$
$1 \frac{1}{2} \times (- 3 \frac{3}{5})$ $- 5 \frac{2}{5}$
$(- 3 \frac{1}{5}) \div (- 3 \frac{1}{3})$ $\frac{24}{25}$
$(- 1 \frac{1}{2}) \times 3 \frac{2}{3}$ $- 5 \frac{1}{2}$

How to do these

$2 \frac{1}{2} \times 1 \frac{1}{3}$

Those are 5 over 2 and 4 over 3.
Multiply across: 20 over 6.
That reduces to 10 over 3.

The answer is $3 \frac{1}{3}$ .

Where students go wrong

Multiplying the whole parts and the fractions separately. Two and a half times one and a third is not two times one plus a half times a third; the whole number has to go into the fraction first.

Also called adding mixed numbers, subtracting mixed numbers or mixed number operations.

What you can put on this worksheet

Adding and subtracting mixed numbers: $1 \frac{1}{3} + 4 \frac{2}{3}$ → $6$
Multiplying and dividing mixed numbers: $2 \frac{1}{3} \times 3 \frac{1}{3}$ → $7 \frac{7}{9}$
Improper fractions and mixed numbers: Write $\frac{18}{5}$ as a mixed number. → $3 \frac{3}{5}$
Word problems: A recipe uses $3 \frac{1}{5}$ cups of flour per batch. How much flour is needed for $3$ batches? → $9 \frac{3}{5}$ cups
Negative mixed numbers: $2 \frac{1}{5} \div (- 2 \frac{1}{4})$ → $- \frac{44}{45}$
Adding and subtracting negative mixed numbers: $(- 1 \frac{3}{4}) - (- 4 \frac{1}{4})$ → $2 \frac{1}{2}$
A whole number times or divided by a fraction: $6 \div (- 3 \frac{1}{3})$ → $- 1 \frac{4}{5}$

Questions about these worksheets

Yes. Every mixed numbers sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Pre-Algebra is usually taken around 7th or 8th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the mixed numbers questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 7: adding and subtracting mixed numbers, multiplying and dividing mixed numbers, improper fractions and mixed numbers, word problems, negative mixed numbers, adding and subtracting negative mixed numbers and a whole number times or divided by a fraction. Tick as many as you want and set how many of each, or let it spread them evenly.

Multiplying the whole parts and the fractions separately. Two and a half times one and a third is not two times one plus a half times a third; the whole number has to go into the fraction first.

Mixed numbers worksheet

Select your difficulty

Add and subtract mixed numbers

Multiply and divide mixed numbers

Solve word problems with mixed numbers

Multiply and divide negative mixed numbers

Add and subtract mixed numbers

Multiply and divide mixed numbers

Solve word problems with mixed numbers

Multiply and divide negative mixed numbers

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

Are these mixed numbers worksheets free?+

Do the mixed numbers worksheets come with an answer key?+

Are these mixed numbers worksheets printable?+

What grade are these mixed numbers worksheets for?+

Can I get a different version of the same mixed numbers worksheet?+

Is this a free alternative to Kuta Software for mixed numbers?+

Can I choose how hard the mixed numbers questions are?+

What kinds of question are on a mixed numbers worksheet?+

What do students get wrong with mixed numbers?+