# Fraction Calculator

### Fraction Calculator Instructions

Use this fraction calculator to easily add, subtract, multiply, and divide fractions. Results are given as fractions in their simplest form or as reduced mixed numbers.

#### Input Instructions:

- Enter proper or improper fractions.
- Choose the mathematical operation you need.
- Click the “Calculate” button.
- Step-by-step solutions are provided.

For negative fractions, place a minus sign before the numerator. For example, to input -6/7, enter -6 in the numerator field and 7 in the denominator field.

In some math problems, the word “of” indicates multiplication. For instance, “What is 1/3 of 3/8?” means you should multiply 1/3 by 3/8.

### Working with Unlike Denominators

There are two situations where you need to handle fractions with different denominators:

- Adding fractions
- Subtracting fractions

#### Steps to Add or Subtract Fractions:

**Find the Least Common Denominator (LCD)**:- Use the LCD Calculator to find the least common denominator for the given fractions.

**Adjust the Fractions**:- For each fraction, determine the number needed to multiply the denominator to reach the LCD.
- Multiply both the numerator and denominator by this number.

**Combine the Numerators**:- For addition, add the adjusted numerators.
- For subtraction, subtract the adjusted numerators.

**Simplify**:- Convert improper fractions to mixed numbers.
- Reduce the fraction to its lowest terms.

### Multiplying Fractions

- Multiply all numerators together.
- Multiply all denominators together.
- Reduce the result to its lowest terms.

### Dividing Fractions

- Rewrite the division as “Keep, Change, Flip”:
- Keep the first fraction as is.
- Change the division sign to multiplication.
- Flip the second fraction by swapping its numerator and denominator.

- Multiply all numerators together.
- Multiply all denominators together.
- Reduce the result to its lowest terms.

### Fraction Formulas

You can add or subtract fractions without finding the least common denominator by using cross multiplication. Here are the formulas:

#### Adding Fractions

$\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}$**Example Steps**:

#### Subtracting Fractions

$\frac{a}{b}-\frac{c}{d}=\frac{ad-bc}{bd}$**Example Steps**:

#### Multiplying Fractions

$\frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}$**Example Steps**:

#### Dividing Fractions

$\frac{a}{b}\xf7\frac{c}{d}=\frac{a\times d}{b\times c}$**Example Steps**:

Note-Please use this Percentage Calculator