Practice Mixed Numbers in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A mixed number combines a whole number and a proper fraction, such as 3143\frac{1}{4}, representing the sum of the whole part and fractional part: 3+14=1343 + \frac{1}{4} = \frac{13}{4}.

You ate 2 whole pizzas and 34\frac{3}{4} of a third pizzaβ€”that's 2342\frac{3}{4} pizzas.

Showing a random 20 of 50 problems.

Example 1

medium
Add 223+1232\frac{2}{3}+1\frac{2}{3}.

Example 2

easy
Convert 4384\frac{3}{8} to an improper fraction.

Example 3

medium
A board is 6146\frac{1}{4} feet long. A 2122\frac{1}{2} foot piece is cut off. How long is the remaining piece?

Example 4

medium
Compare 2232\frac{2}{3} and 2352\frac{3}{5}. Which is larger?

Example 5

medium
Add 212+1132\frac{1}{2}+1\frac{1}{3}.

Example 6

medium
Multiply 213Γ—1122\frac{1}{3} \times 1\frac{1}{2}.

Example 7

medium
Subtract 314βˆ’1343\frac{1}{4}-1\frac{3}{4}.

Example 8

medium
Sara ran 2342\frac{3}{4} miles Monday and 3123\frac{1}{2} miles Tuesday. How many miles total?

Example 9

medium
A jug holds 3143\frac{1}{4} cups of juice. Three jugs are filled. Total juice?

Example 10

easy
Convert 5135\frac{1}{3} to an improper fraction.

Example 11

easy
Convert 94\frac{9}{4} to a mixed number.

Example 12

easy
Add 125+2151\frac{2}{5} + 2\frac{1}{5}.

Example 13

medium
Subtract 7βˆ’2387-2\frac{3}{8}.

Example 14

easy
Convert 73\frac{7}{3} to a mixed number.

Example 15

medium
Subtract 413βˆ’1344\frac{1}{3} - 1\frac{3}{4}.

Example 16

medium
Multiply 312Γ—2233\frac{1}{2}\times 2\frac{2}{3}.

Example 17

easy
What whole number does 4444\frac{4}{4} equal?

Example 18

hard
Multiply 235Γ—3142\frac{3}{5}\times 3\frac{1}{4}.

Example 19

medium
Add 314+2143\frac{1}{4}+2\frac{1}{4}.

Example 20

hard
A bag holds 4124\frac{1}{2} pounds of rice. If you use 34\frac{3}{4} pound per serving, how many full servings can you make?