# 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:

### 1 + 1/2 = 3/2 = 1 1/2 = 1.5

The spelled result in words is three halfs (or one and one half).### How do we solve fractions step by step?

- Add: 1 + 1/2 = 1/1 + 1/2 = 1 · 2/1 · 2 + 1/2 = 2/2 + 1/2 = 2 + 1/2 = 3/2

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 2) = 2. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 2 = 2. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one plus one half is three halfs.

### 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

• multiplying a fraction by a whole number: 6 * 3/4

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

• reducing or simplifying the fraction (simplification) : 4/22 - dividing the numerator and denominator of a fraction by the same non-zero number - equivalent fraction

• 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:

- 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? - Fraction and a decimal

Write as a fraction and a decimal. One and two plus three and five hundredths - Money fraction

You have 8 euros and spend 5 euros. What fraction did you spend? - Bella

Bella collected 3/5 of a bin of glass bottles to recycle. Ian collected 9 times as many bins as Bella. How many bins of bottles did Ian collect?

- Frac answer

What is the answer to 1/2 ÷ 5/7? - Pencils

You have 36 pencil crayons. How many pencil crayons makeup 1/2 of the total? - One third 2

One-third of all students in class live in a house. If there are 42 students in a class, how many of them live in a house? - Percentage 5332

By what percentage is one-fifth greater than one-tenth? - Rolls

Mom bought 13 rolls. Dad ate 3.5 rolls. How many rolls were left when Peter ate two at dinner?

- Multiply 17

Multiply each of the following fractions. Show your work and write your answer as a fraction in simplest form and as a mixed number. You may or may not use the mixed number boxes. Multiply the Fractions ; Result of Multiplying ; Simplest Form ; Mixed Numb - Hamsters 83018

Jožko keeps dogs, guinea pigs, hamsters, and hares. A total of 24 animals. Of these, 1/3 are hamsters, 3/8 are guinea pigs, and 3/4 are not hares. How many dogs does Jožko have? - Fraction multiplication

Solve six times three-sixths equals blank. Leave your answer as an improper fraction. thirty-six thirds eighteen-sixths eighteen-sixteenths three thirty-sixths - Cocoa

3/4 cup of cocoa is needed to make a chocolate bar. If Rohan wants to make 16 chocolate bars, how many cups of cocoa are required? - Parul

Parul and Tarun ran a race of 200m. Parul completed the race in 2/3 min and Taun in 3/5 mins. Who took more time?

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