# Simplifying Fractions Calculator

Simplify fractions (simple or mixed) into their simplest form.

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This calculator allows you to convert fractions to their simplest form and transform improper fractions into proper fractions.

Reducing fractions makes them more readable and facilitates calculations.

## How to Simplify Fractions?

To simplify a fraction, find the Greatest Common Divisor (GCD) of the numerator (top number) and denominator (bottom number), then divide both numbers by the GCD.

**Example 1:**Simplify $$ \dfrac{8}{12}$$

**Step 1:** Find the GCD of 8 and 12:

$$ \text{GCD = } 4 $$

**Step 2:** Divide both the numerator and denominator by GCD (4).

$$ 8 \div 4 \text{ = } 2 $$

$$ 12 \div 4 \text{ = } 3 $$

**Result:**

$$ \dfrac{8}{12} = \dfrac{2}{3} $$

**Example 2:**Simplify $$ 3 \dfrac{2}{8}$$

**Step 1:** Save the whole number for later and find the GCD of 2 and 8:

$$ \text{GCD = } 2 $$

**Step 2:** Divide both the numerator and denominator by GCD (2).

$$ 2 \div 2 \text{ = } 1 $$

$$ 8 \div 2 \text{ = } 4 $$

**Result:** Add the whole number at the beginning and obtain your result.

$$ 3 \dfrac{2}{8} = 3 \dfrac{1}{4} $$

**Simple fraction**

If you want to convert a mixed fraction to a simplified fraction, multiply the whole number by the denominator and then add the result to the numerator.

$$ 3 \times 4 + 1 = 13 $$

**Simple fraction result:**

$$ 3 \dfrac{1}{4} = \dfrac{13}{4}$$