Fraction Calculator

Calculate with fractions. Add, subtract, multiply, or divide two fractions.

Fraction 1

Fraction 2

Result
0
Decimal0
Simplified0

How to Use This Calculator

Say you're following a recipe that calls for 2/3 cup of flour, but you need to triple it. Choose "Multiply" from the operation dropdown. For Fraction 1, enter numerator 2 and denominator 3. For Fraction 2, enter numerator 3 (because tripling is 3/1) and denominator 1. Hit Calculate. The result shows 6/3 as the raw fraction, which simplifies to 2/1 — meaning you need 2 cups of flour. The decimal equivalent is 2.0, confirming it. For another example, say you have 3/4 of a pizza left and you want to split it between 2 people. Use "Divide", enter 3/4 as Fraction 1 and 2/1 as Fraction 2. The result is 3/8 — each person gets three-eighths of the whole pizza, or 0.375 of it.

About Fraction Calculator

The Fraction Calculator lets you add, subtract, multiply, and divide two fractions. Enter the numerator and denominator for each fraction, choose an operation, and the tool returns the result as a fraction, its decimal equivalent, and the simplified form. Fractions are automatically reduced to lowest terms using the greatest common divisor, ensuring you always see the cleanest representation. This calculator is especially useful for students from elementary through high school who are learning fraction arithmetic, for cooks scaling recipes, for woodworkers dividing measurements, and for anyone who finds fractional math tedious or error-prone. By displaying the unsimplified result alongside the simplified version, it helps users understand how reduction works. The tool handles improper fractions, negative values, and zero numerators, and it will alert you if a denominator of zero is entered. Mastering fraction operations is foundational for algebra and higher mathematics, and this calculator provides both the answer and the confidence to tackle more complex problems.

When to Use This Calculator

Recipe Scaling: When a pasta recipe calls for 2/3 cup of sauce but you're feeding 6 instead of 4, you need to multiply 2/3 by 3/2. This calculator lets you adjust any recipe quantity in seconds without dirtying extra measuring cups or doing error-prone mental math.

Woodworking & Home Improvement: Measurements in construction and carpentry are often in fractions — 3/8-inch drill bits, 1/4-inch plywood, 5/16-inch bolts. If you need to calculate the total thickness of 3 layers of 3/16-inch material, you're adding fractions. This tool handles it so you don't end up with gaps or misaligned cuts.

Academic Study: Students from 4th grade through college deal with fraction arithmetic constantly. Whether you're learning to add fractions with unlike denominators or computing slope as rise over run (a fraction), this calculator shows the simplified result and the decimal — reinforcing the connection between the two representations.

Frequently Asked Questions

What's 1/2 + 1/3? Can this calculator show the steps?

Select "Add", enter 1/2 for Fraction 1 and 1/3 for Fraction 2. The result is 5/6, the decimal is 0.833333, and the simplified form is also 5/6 (it's already reduced). The calculator doesn't show the common-denominator step visually, but seeing the unsimplified result alongside the simplified one helps you understand how fraction addition works.

How do I simplify fractions?

To simplify a fraction, divide the numerator and denominator by their greatest common divisor (GCD). For example, 8/12 simplifies to 2/3 because the GCD of 8 and 12 is 4, and 8÷4=2, 12÷4=3. The calculator automatically simplifies all results and shows both the raw and simplified forms.

How do I add fractions with different denominators?

To add fractions with different denominators, find a common denominator (typically the least common multiple of the denominators), convert each fraction to an equivalent fraction with that denominator, then add the numerators. For example, 1/3 + 1/4 = 4/12 + 3/12 = 7/12, which is already simplified.

What is an improper fraction?

An improper fraction has a numerator equal to or larger than its denominator, such as 7/4 or 11/3. Improper fractions represent values greater than or equal to 1. They can be converted to mixed numbers (e.g., 7/4 = 1¾). The calculator handles improper fractions and displays them in both forms.

How do I convert fractions to decimals?

Simply divide the numerator by the denominator using long division or a calculator. For example, 3/4 = 3 ÷ 4 = 0.75, and 1/3 = 1 ÷ 3 = 0.333333... (repeating). The calculator automatically shows the decimal equivalent of every fraction result to six decimal places.