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Start with the ten worked problems below, then move on to unlimited practice drills.
Every sample problem shows the answer and the working, so you can check your method before you practice. The four practice pages then generate as many new problems as you want, with hints and instant feedback.
Two or three problems per operation, plus one on simplifying. Cover the answer, work it out, then compare.
1.1/4 + 2/4
AdditionAnswer: 3/4
Denominators already match, so add the numerators only: 1 + 2 = 3, over 4.
Open this problem in the calculator2.2/3 + 1/4
AdditionAnswer: 11/12
The LCD of 3 and 4 is 12. Rewrite as 8/12 + 3/12, then add: 11/12, already simplest.
Open this problem in the calculator3.3/5 + 1/2
AdditionAnswer: 11/10 (1 1/10)
The LCD of 5 and 2 is 10. Rewrite as 6/10 + 5/10 = 11/10, which is 1 whole and 1/10.
Open this problem in the calculator4.5/6 - 1/3
SubtractionAnswer: 1/2
Rewrite 1/3 as 2/6, subtract: 5/6 - 2/6 = 3/6, then simplify by 3 to get 1/2.
Open this problem in the calculator5.7/8 - 1/2
SubtractionAnswer: 3/8
Rewrite 1/2 as 4/8, subtract: 7 - 4 = 3, so the answer is 3/8.
Open this problem in the calculator6.2/3 × 3/5
MultiplicationAnswer: 2/5
Multiply straight across: 2 × 3 = 6 and 3 × 5 = 15, so 6/15, which simplifies by 3 to 2/5.
Open this problem in the calculator7.3/4 × 8/9
MultiplicationAnswer: 2/3
Cancel first: 4 into 8 gives 2, and 3 into 9 gives 3. That leaves 1/1 × 2/3 = 2/3.
Open this problem in the calculator8.1/2 ÷ 1/4
DivisionAnswer: 2
Keep 1/2, change to ×, flip 1/4 to 4/1: 1/2 × 4/1 = 4/2 = 2. There are two quarters in a half.
Open this problem in the calculator9.2/3 ÷ 4/9
DivisionAnswer: 3/2 (1 1/2)
Flip the divisor: 2/3 × 9/4 = 18/12, which simplifies by 6 to 3/2, or 1 1/2.
Open this problem in the calculator10.Simplify 18/24
SimplifyingAnswer: 3/4
The greatest common factor of 18 and 24 is 6. Divide both parts by 6: 18 ÷ 6 = 3 and 24 ÷ 6 = 4.
Open this problem in the calculatorPractice adding fractions with like and unlike denominators.
Practice subtracting fractions with like and unlike denominators.
Practice multiplying fractions and mixed numbers.
Practice dividing fractions and mixed numbers.
Choose from Easy, Medium, or Hard to match your current understanding and challenge yourself appropriately.
Get step-by-step hints when you're stuck and receive instant feedback on your answers to learn quickly.
Monitor your correct answers, streaks, and achievements with our integrated progress dashboard.
Most students improve faster when they move in order instead of jumping between random topics.
| Step | Focus | Practice page |
|---|---|---|
| 1 | Like and unlike denominator addition | Addition |
| 2 | Borrowing and common denominator subtraction | Subtraction |
| 3 | Numerator and denominator multiplication patterns | Multiplication |
| 4 | Reciprocal method for division | Division |
These are the values students confuse most often. Keep this chart open while practicing operations and word problems.
| Fraction | Decimal | Percent |
|---|---|---|
| 1/4 | 0.25 | 25% |
| 1/3 | 0.333... | 33.33% |
| 1/2 | 0.5 | 50% |
| 2/3 | 0.666... | 66.67% |
| 3/4 | 0.75 | 75% |
Select a category above to start practicing!