# What is 2/3 + 3/4? — Fraction Calculator

> Add 2/3 and 3/4 with full steps — the answer is 17/12, or 1 5/12 (about 1.417). See the common denominator, the simplified result, and pie charts.

- **Answer:** 17/12
- **Category:** Math
- **Interactive calculator:** https://youcalc.com/en/math/fraction-operations/2-3-plus-3-4/
- **Price:** Free, no sign-up required
- **Full calculator:** [Fraction Calculator](https://youcalc.com/en/math/fraction-operations/)
- **Pre-filled inputs:** `an=2&ad=3&bn=3&bd=4&op=add`

## Overview

2/3 + 3/4 = 17/12, which is 1 5/12 as a mixed number (about 1.417). The lowest common denominator is 12, so 2/3 becomes 8/12 and 3/4 becomes 9/12, and 8 + 9 = 17. Add, subtract, multiply, or divide any two fractions in the calculator below.

## Method

For addition and subtraction the calculator finds the LCM of the two denominators, rewrites each fraction over that common denominator, and combines the numerators. For multiplication it multiplies numerator by numerator and denominator by denominator. For division it multiplies the first fraction by the reciprocal of the second. In every case the result is then reduced by dividing numerator and denominator by their GCD (computed via the Euclidean algorithm), and a mixed-number form is derived when the absolute numerator exceeds the denominator.

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## Sources

- https://mathworld.wolfram.com/Fraction.html
- https://www.khanacademy.org/math/arithmetic-home/arith-review-fractions

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Interactive version: https://youcalc.com/en/math/fraction-operations/2-3-plus-3-4/ · From YouCalc — https://youcalc.com