Math

Fraction Calculator

Add, subtract, multiply, and divide fractions with ease. See results as fractions, decimals, and percentages with step-by-step explanations.

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How to Work with Fractions

Adding Fractions

To add fractions with different denominators, first find the Least Common Denominator (LCD):

½ + ⅓ = ⅜? LCD = 6, so ½ = 3/6 and ⅓ = 2/6. Then 3/6 + 2/6 = 5/6.

Multiplying Fractions

Multiply numerators together and denominators together:

⅔ × ¾ = (2×3)/(3×4) = 6/12 = ½

Dividing Fractions

Flip the second fraction and multiply:

½ ÷ ⅓ = ½ × 3/1 = 3/2 = 1½

Converting Fractions

  • To Decimal: Divide numerator by denominator (½ = 0.5)
  • To Percentage: Multiply decimal by 100 (0.5 = 50%)
  • To Mixed Number: 7/4 = 1¾

Frequently Asked Questions

Can denominators be negative?

Our calculator handles negative fractions. The result will automatically show the negative sign in the correct position and simplify accordingly.

How do I convert a fraction to a decimal?

Simply divide the numerator by the denominator. For example, ¾ = 3 ÷ 4 = 0.75. Our calculator shows both the fraction and decimal form instantly.

What's a mixed number?

A mixed number combines a whole number and a fraction, like 1½ meaning 1 and a half. To convert an improper fraction like 7/4 to a mixed number, divide 7 ÷ 4 = 1 remainder 3, giving 1¾.

Can I see how the calculation was done?

Yes! Every result includes step-by-step explanations showing exactly how we found the least common denominator, adjusted the fractions, performed the operation, and simplified the result.