Fractions•Step-by-Step

Fraction Calculator with Steps

Add, subtract, multiply, and divide fractions with full working steps. Automatically simplifies to lowest terms and displays mixed numbers and decimal equivalents.

Solution & FormsReduced Fraction & Mixed Number
Reduced:
23
20
Mixed:1
3
20
Decimal:1.15

Working Steps:

Step 1: Find Least Common Denominator (LCD) of 4 and 5 = 20
Step 2: Convert fractions to common denominator: 3/4 = 15/20 and 2/5 = 8/20
Step 3: Add numerators: (15 + 8) / 20 = 23/20

How Fraction Math Works

To add or subtract fractions, find the Least Common Denominator (LCD) so both pieces are measured in the same unit. For multiplication, multiply the numerators and denominators straight across. For division, flip the second fraction into its reciprocal and multiply.

Frequently Asked Questions

How do you add or subtract fractions with different denominators?

Find the Least Common Denominator (LCD). Multiply the numerator and denominator of each fraction so they share the LCD, then add or subtract only the numerators while keeping the common denominator.

How do you multiply two fractions?

Multiply the numerators together, multiply the denominators together, and simplify the resulting fraction by dividing both by their Greatest Common Divisor (GCD): (a/b) × (c/d) = (a × c) / (b × d).

What is 'Keep, Change, Flip' for dividing fractions?

To divide fractions: 1) Keep the first fraction, 2) Change the division sign to multiplication, 3) Flip the second fraction into its reciprocal. Then multiply across: (a/b) ÷ (c/d) = (a/b) × (d/c).

What is an improper fraction versus a mixed number?

An improper fraction has a numerator greater than or equal to its denominator (like 7/4). A mixed number expresses that same value as a whole number plus a proper fraction (like 1 3/4).