# Fraction calculator

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.

## The result:

### 1/4 * 2 = 1/2 = 0.5

Spelled result in words is one half.### How do we solve fractions step by step?

- Multiple: 1/4 * 2 = 1 · 2/4 · 1 = 2/4 = 1 · 2/2 · 2 = 1/2

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(2, 4) = 2. In the following intermediate step, cancel by a common factor of 2 gives 1/2.

In other words - one quarter multiplied by two is one half.

#### Rules for expressions with fractions:

**Fractions**- use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter

**5/100**. If you use mixed numbers, leave a space between the whole and fraction parts.

**Mixed numerals**(mixed numbers or fractions) keep one space between the integer and

fraction and use a forward slash to input fractions i.e.,

**1 2/3**. An example of a negative mixed fraction:

**-5 1/2**.

Because slash is both sign for fraction line and division, use a colon (:) as the operator of division fractions i.e.,

**1/2 : 1/3**.

Decimals (decimal numbers) enter with a decimal point

**.**and they are automatically converted to fractions - i.e.

**1.45**.

### Math Symbols

Symbol | Symbol name | Symbol Meaning | Example |
---|---|---|---|

+ | plus sign | addition | 1/2 + 1/3 |

- | minus sign | subtraction | 1 1/2 - 2/3 |

* | asterisk | multiplication | 2/3 * 3/4 |

× | times sign | multiplication | 2/3 × 5/6 |

: | division sign | division | 1/2 : 3 |

/ | division slash | division | 1/3 / 5 |

: | colon | complex fraction | 1/2 : 1/3 |

^ | caret | exponentiation / power | 1/4^3 |

() | parentheses | calculate expression inside first | -3/5 - (-1/4) |

## Fractions in word problems:

- Out 550,000.00

Out of 550,000.00, an amount of 325,000.00 was used. What fraction of the total amount was used? - A class IV.A

In a class, there are 15 girls and 30 boys. What fraction of the class represents the boys? - Simplify 12

Simplify {1/3 + 1/12} ÷ {2/3 - 5/8} - The parsley

Milka's grandmother planted 12 rows of vegetables. 1/6 of the rows are carrots. The rest is parsley. How many rows are planted with parsley? - A quarter

A quarter of the number 72 is:

more math problems »