Fraction Calculator

Add, subtract, multiply, and divide fractions and mixed numbers. Get step-by-step solutions with simplification and conversion to decimals.

Fraction Calculator

First Fraction

= 1/2

Or as Mixed Number:

Operation

Second Fraction

= 1/4

Or as Mixed Number:

1/2 + 1/4 = ?

Results

3/4

Simplified Result

Mixed: 0 3/4

0.75

Decimal

75%

Percentage

Step-by-Step Solution

1

Find common denominator:

LCD of 2 and 4 is 4

2

Convert fractions:

1/2 = 2/4, 1/4 = 1/4

3

Perform operation:

2/4 + 1/4 = 3/4

4

Simplify:

3/4 is already in lowest terms

Additional Information

Improper fraction: 3/4

GCD: 1

Reciprocal: 4/3

Decimal places: 2

Understanding Fractions

Adding and Subtracting

To add or subtract fractions, find a common denominator (usually the LCD - Least Common Denominator). Convert both fractions, then add or subtract the numerators while keeping the denominator the same.

Multiplying Fractions

To multiply fractions, multiply the numerators together and multiply the denominators together. Formula: (a/b) × (c/d) = (a×c)/(b×d)

Dividing Fractions

To divide fractions, multiply by the reciprocal of the second fraction. Formula: (a/b) ÷ (c/d) = (a/b) × (d/c)

Mixed Numbers

A mixed number combines a whole number and a fraction (like 2 1/3). Convert to improper fractions for calculations, then convert back if needed.

Fraction Calculator