FractionFox

Fraction Calculator

Two fractions, four operations — always simplified to the lowest terms.

Result

7 / 6

≈ 1.166667 · mixed: 1 1/6

Answers to the fraction problems people look up most

Each row is a calculation this tool performs, with the answer already reduced to lowest terms. Enter the two numerators and denominators, pick the operator, and you get the same result.

Calculation	Answer (lowest terms)	Mixed number	Decimal
1/2 + 1/3	5/6	5/6	0.833333
2/3 + 1/4	11/12	11/12	0.916667
1/2 + 1/2	1/1	1	1.000000
7/8 + 5/6	41/24	1 17/24	1.708333
3/4 - 1/2	1/4	1/4	0.250000
5/6 - 1/3	1/2	1/2	0.500000
1/2 times 2/3	1/3	1/3	0.333333
3/4 times 2/5	3/10	3/10	0.300000
3/4 divided by 1/2	3/2	1 1/2	1.500000
2/3 divided by 4/5	5/6	5/6	0.833333

Addition and subtraction go over the common denominator d1 x d2 and are then reduced by the greatest common divisor, which is why 2/6 comes back as 1/3. Division flips the second fraction and multiplies. Decimals are shown to six places, so repeating values such as 0.833333 are truncated, not exact.

How to add fractions step by step

To add fractions like 2/3 + 1/4, first find a common denominator — the least common multiple of 3 and 4 is 12. Rewrite: 8/12 + 3/12 = 11/12. When adding mixed numbers, convert to improper fractions first (2 1/2 = 5/2), add, then convert back.

How to multiply and divide fractions

Multiplication is simpler than addition: multiply the numerators together and the denominators together. For 2/3 × 3/4, you get 6/12 = 1/2. To divide fractions, flip the second fraction and multiply: 2/3 ÷ 1/4 = 2/3 × 4/1 = 8/3.

Simplifying fractions to lowest terms

A fraction is in lowest terms when the numerator and denominator share no common factor other than 1. Find the greatest common divisor (GCD) and divide both by it. For 18/24: GCD(18, 24) = 6, so 18/24 = 3/4. This calculator simplifies automatically.

Converting between fractions, decimals, and percentages

Divide the numerator by the denominator to get a decimal: 3/8 = 0.375. Multiply by 100 for a percentage: 37.5%. Going back: 0.375 = 375/1000 = 3/8 after simplifying. Repeating decimals like 1/3 = 0.333... can't be written as a terminating decimal.

Frequently asked questions

How do you add fractions with different denominators?

Find the least common denominator (LCD), convert each fraction so both have the LCD as their denominator, then add the numerators. For example, 1/3 + 1/4: the LCD is 12, so 4/12 + 3/12 = 7/12.

How do you simplify a fraction?

Divide both the numerator and denominator by their greatest common divisor (GCD). For 12/18: GCD is 6, so 12÷6 = 2 and 18÷6 = 3, giving you 2/3. If you can't spot the GCD, divide by small primes (2, 3, 5) until nothing divides evenly.

How do you multiply fractions?

Multiply the numerators together and the denominators together: (a/b) × (c/d) = (a×c)/(b×d). For example, 2/3 × 4/5 = 8/15. You can cross-cancel common factors before multiplying to keep numbers small.

How do you divide fractions?

Flip the second fraction (take its reciprocal) and multiply: (a/b) ÷ (c/d) = (a/b) × (d/c). For example, 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8 = 1 7/8.

What is an improper fraction vs a mixed number?

An improper fraction has a numerator larger than or equal to the denominator (like 7/4). A mixed number has a whole part and a fraction part (like 1 3/4). They represent the same value. To convert: divide the numerator by the denominator — the quotient is the whole part, the remainder is the new numerator.