Fraction calculator with steps







Calculator performs basic and advanced operations with fractions, integers, decimals and mixed numbers. Also shows detailed step-by-step information about fraction calculation procedure. Solve problems with two, three or more fractions and numbers in one expression.

Rules for expressions with fractions:

Fractions can be writed i.e. 5/100 (five hundredths) and mixed fractions i.e. 1 2/3 (one and two-thirds). Numerator (number above a fraction line) and denominator (number below) is separated by slash.
A 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 negative mixed fraction: -5 1/2. Because slash is both sign for fraction line and division, we recomended 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 use 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: 2/3 * 3/4
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
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.