# Fraction calculator

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

## Result:

### 2/3 * 1/6 = 1/9 ≅ 0.1111111

Spelled result in words is one ninth.### How do you solve fractions step by step?

- Multiple: 2/3 * 1/6 = 2 · 1/3 · 6 = 2/18 = 1 · 2/9 · 2 = 1/9

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(2, 18) = 2. In the following intermediate step, cancel by a common factor of 2 gives 1/9.

In other words - two thirds multiplied by one sixth = one ninth.

#### Rules for expressions with fractions:

**Fractions**- simply use a forward slash between the numerator and denominator, i.e., for five-hundredths, enter

**5/100**. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

**Mixed numerals**(mixed fractions or mixed numbers) write as integer separated by one space and fraction i.e.,

**1 2/3**(having the same sign). An example of a negative mixed fraction:

**-5 1/2**.

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

**1/2 : 3**.

Decimals (decimal numbers) enter with a decimal point

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

**1.45**.

The colon

**:**and slash

**/**is the symbol of division. Can be used to divide mixed numbers

**1 2/3 : 4 3/8**or can be used for write complex fractions i.e.

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

An asterisk

*****or

**×**is the symbol for multiplication.

Plus

**+**is addition, minus sign

**-**is subtraction and

**()[]**is mathematical parentheses.

The exponentiation/power symbol is

**^**- for example:

**(7/8-4/5)^2**= (7/8-4/5)

^{2}

#### 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

• exponentiation of fraction: 3/5^3

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

• 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

**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.

Be careful, always do

**multiplication and division**before

**addition and subtraction**. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.

## Fractions in word problems:

- Sum three fractions

Work out the sum of 1/4, 1/5 and 3/10. - Simple equation 5

Solve equation with fractions: X × 3/8 = 1/2 - 3 children

3 children had to divide 4 pounds is candy. How much candy did each child get? - School library

The school library contains 6300 books. With this constitutes 7% of professional books for teachers 18% interest books and encyclopedias for pupils and the rest of the fairy tales. How much are which books? - Of the 2

Of the shapes,1/6 are triangles, and 5/12 are pentagons. What fraction of the shapes are either triangles or pentagons? - Ratio

Write the ratio with other numbers so that the value is the same: 2: 9 - Numbers division

With what number should be divided mixed number 2 3/4 to get 11/12? - Supermarket 2

A supermarket had a buko pie sale. In the morning, 2/3 of the pies were sold, and in the afternoon, 1/6 of the pies were sold. If 150 pies were left, how many pies had been sold? Show your solution. - Max vs Sharon

Max is 1 1/2 times as tall as Sharon. Alan is 4 1/3 feet tall. If Alan is 6 inches taller than Sharon, how tall is Max? - The Mayflower

The Mayflower traveled for 66 days on the trip from England to America. The weather was storming for many days of their trip. If one and a half of the days at Sea where Sunny with good weather, 1/6 of the days were sunny but very windy and the other days - Swimming pool 5

A rectangular inflatable swimming pool is 3 yards long, 2 5/8 yards wide, and 1 3/5 yard tall. What is the volume of the pool? Round to the nearest tenth. - Janna

Janna takes her medicine 3 times a day. How many days will a 60 ml medicine last if 2 1/2ml is taken each time? - Three friends

Cuba, Matthew and their friend Adam found a brigade during their weekend weekends because they wanted to make a joint trip to the Alps that they planned for the spring break. Cuba enjoyed the skiing trip very much, so he was not lazy to get up and went to

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