# Fraction calculator with steps

#### Rules for expressions with fractions:

**Fractions**can be written i.e.

**5/100**(five hundredths) and mixed fractions i.e.

**1 2/3**(one and two-thirds). The numerator (number above a fraction line) and denominator (number below) is separated by the slash.

**mixed numerals**(mixed fractions or mixed numbers) can be entered as non-zero 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 operator of division fractions i.e.

**1/2 : 3**.

Decimals (decimal numbers) can be written with a decimal point

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

**1.45**.

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 compound/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:

• addition of fractions: 2/4 + 3/4• adding fractions and mixed numbers: 8/5 + 6 2/7

• subtraction fractions: 2/3 - 1/2

• multiplying a fraction by another fraction - multiplication: 7/8 * 3/9

• division of fractions: 1/2 : 3:4

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

• dividing integer and fraction: 5/5 ÷ 1/2

• exponentiation of fraction: 3/5^3

• fractional exponents: 16 ^ 1/2

• 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

• mixed numbers and decimals: 1.5 - 1 1/5

• subtracting mixed number and fraction: 1 3/5 - 5/6

• add/sum of mixed numbers: 4 5/8 + 2 3/4

• multiplication of mixed numbers: 3 3/4 * 2 2/5

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

• convert a fraction to a percentage: 3/8 %

• conversion between fractions and decimals: 5/8

• viral Japanese fraction problem (order of operations with fractions) : 9 - 3 ÷ 1/3 + 1

Calculator follows well-known rules for

**order of operations**. 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.

Conversion fractions to decimal.