# Fraction calculator

This calculator multiplies integer (or whole number) by a fraction. To multiply the whole number by a fraction, we multiply the numerator by the whole number. Then simplify the result to the lowest terms or a mixed number.

## The result:

### 8 * 2/3 = 16/3 = 5 1/3 ≅ 5.3333333

The spelled result in words is sixteen thirds (or five and one third).### How do we solve fractions step by step?

- Multiple: 8 * 2/3 = 8 · 2/1 · 3 = 16/3

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(16, 3) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - eight multiplied by two thirds is sixteen thirds.

### 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:

- 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? - 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? - 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? - A pancake 2

A pancake recipe requires 3/4 teaspoons of vanilla, and a cake recipe requires 3 times as much vanilla as a pancake recipe. How many teaspoons of vanilla is required for the cake recipe? - Nida had

Nida had 1/12 of a pizza. She gave 1/8 of it to her friend Madeeha. Find what part of the whole pizza did Madeeha get.

- Show the

Show the product using illustration. What is 2/4 of 23/8? show ¾ of 1 ½ 2 2/3 of 2 ½ ½ of 2 ½ 1 ½ of 2/3 - Carla 3

Carla bought 3/4 kilogram of fish in the market for 120 pesos. If each piece of fish weighs 1/4 kilogram, how much does each cost? - David 2

David poured orange juice into 7 cups. He poured 1/4 liter of orange juice into each cup. How many liters of orange juice did David pour altogether? - One large

One large pizza is cut into 12 pieces. The pizza has sausage, mushrooms, and cheese on it. Michelle ate 1/6 of the pizza, Natalie ate 1/4 of the pizza, Bridgette ate 1/8 of the pizza, and Brenda ate 1/3 of the pizza. How much of the whole pizza is left, a - Fruits

For the price of one pineapple, I will buy two oranges. For the price of three oranges, I will buy four apples. I will buy six bananas for the price of three apples. What is the price of one banana if I pay 1 euro for one pineapple?

more math problems »