Fraction Calculator | Add, Subtract, Multiply, Divide Fractions

Formula

This calculator uses the standard fraction calculator formula:

Addition of Fractions

a/b + c/d = (a×d + b×c) / (b×d)

How do you add fractions with different denominators? ⌄

Find the Least Common Denominator (LCD), convert each fraction, then add the numerators. For example, 1/2 + 1/3: LCD=6, so 3/6 + 2/6 = 5/6.

How do you multiply fractions? ⌄

Multiply numerators together and denominators together, then simplify. For example, 2/3 × 3/4 = 6/12 = 1/2.

How do you divide fractions? ⌄

Flip (reciprocal) the second fraction and multiply. For example, 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.

How do you simplify a fraction? ⌄

Divide both numerator and denominator by their Greatest Common Divisor (GCD). For example, 8/12: GCD=4, so 8/4 ÷ 12/4 = 2/3.

How do you subtract fractions? ⌄

Find the LCD, convert both fractions, subtract the numerators, then simplify. For example, 3/4 − 1/6: LCD=12, so 9/12 − 2/12 = 7/12.

What is an improper fraction? ⌄

An improper fraction has a numerator greater than or equal to the denominator, e.g. 7/4. It equals the mixed number 1¾.