# Fraction calculator

This fraction calculator performs all fraction operations - addition, subtraction, multiplication, division and evaluates expressions with fractions. It also shows detailed step-by-step informations.

## The result:

### (9 1/3) : 3 = 28/9 = 3 1/9 ≅ 3.1111111

The spelled result in words is twenty-eight ninths (or three and one ninth).### How do we solve fractions step by step?

- Conversion a mixed number 9 1/3 to a improper fraction: 9 1/3 = 9 1/3 = 9 · 3 + 1/3 = 27 + 1/3 = 28/3

To find a new numerator:

a) Multiply the whole number 9 by the denominator 3. Whole number 9 equally 9 * 3/3 = 27/3

b) Add the answer from the previous step 27 to the numerator 1. New numerator is 27 + 1 = 28

c) Write a previous answer (new numerator 28) over the denominator 3.

Nine and one third is twenty-eight thirds. - Divide: 28/3 : 3 = 3.1111111111111 = 28/9

### 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) |

#### Examples:

• adding fractions: 2/4 + 3/4• subtracting fractions: 2/3 - 1/2

• multiplying fractions: 7/8 * 3/9

• dividing Fractions: 1/2 : 3/4

• reciprocal of a fraction: 1 : 3/4

• square of a fraction: 2/3 ^ 2

• cube of a fraction: 2/3 ^ 3

• exponentiation of a fraction: 1/2 ^ 4

• fractional exponents: 16 ^ 1/2

• adding fractions and mixed numbers: 8/5 + 6 2/7

• dividing integer and fraction: 5 ÷ 1/2

• complex fractions: 5/8 : 2 2/3

• decimal to fraction: 0.625

• Fraction to Decimal: 1/4

• Fraction to Percent: 1/8 %

• comparing fractions: 1/4 2/3

• square root of a fraction: sqrt(1/16)

• expression with brackets: 1/3 * (1/2 - 3 3/8)

• compound fraction: 3/4 of 5/7

• fractions multiple: 2/3 of 3/5

• divide to find the quotient: 3/5÷2/3

The calculator follows well-known rules for

**the order of operations**. The most common mnemonics for remembering this order of operations are:

**PEMDAS**- Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

**BEDMAS**- Brackets, Exponents, Division, Multiplication, Addition, Subtraction

**BODMAS**- Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.

**GEMDAS**- Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.

**MDAS**- Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.

Be careful; always do

**multiplication and division**before

**addition and subtraction**. Some operators (+ and -) and (* and /) have the same priority and must be evaluated from left to right.

## Fractions in word problems:

- Women

In a company of 1050 employees, are 2/3 women. How many women work in the company? - Seven 83500

One and a half hens laid one and a half eggs in a day and a half. How much will six hens lay in seven days? - Tim and

Tim and Sufyaan share sweets in a ratio of 3:5. Tim gets 12 sweets. How many does Sufyaan get? - Division of money

Calculate how many euros Matthew, Miriam, Lucy, Michael, and Janka, when together, have 2,700 euros, and the amounts are at a ratio of 1:5:6:7:8.

- Three 262

Three farmers, A, B, and C, hire meadow for Rs 1460. Farmer A puts in 10 cows for 20 days, farmer B 30 cows for 8 days, and farmer C 16 cows for 9 days. Find the rent paid by each one of them. - Ace

We pulled out one card from complete sets of playing cards (32 cards). What is the probability of pulling the ace? - Reminder and quotient

There are given numbers A = 135, B = 315. Find the smallest natural number R greater than one so that the proportions R:A, R:B are with the remainder 1.

more math problems »

Last Modified: July 13, 2024