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:

Slash / is fraction bar or division sign - i.e. 5/100 or 1/2 / 3.
Mixed Fraction is a whole number and a proper fraction combined. A mixed number (mixed fraction) can be entered as whole number space and improper fraction, for example 1 2/3 (one and two-thirds) or how to solve fraction 2 1/2. Keep exactly one space between the whole number and fraction.
Decimal numbers are written with a decimal point . and are automatically converted to fractions - i.e. 1.45.

Colon : is the symbol of division, for example, to divide mixed numbers: 1 2/3 : 4 3/8.
An asterisk * is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

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.

Examples:

viral Japanese fraction problem (order of operations with fractions) : 9 - 3 ÷ 1/3 + 1
add as a fraction: 2/3 + 3/5
adding fractions and mixed number: 1/2 + 2/5 + 6 2/7
subtracting fractions: 1/2 - 1/5 - 5
dividing integer and fraction: 5/5 ÷ 1/2
multiplication of fractions: 1/2 * 3/5
division of fractions: 1/2 / 3/5
power of fractions: 3/5^3
cutting and simplifying: 4/22
mixed numbers and decimals: 1.5 - 1 1/5
subtracting mixed number and fraction: 1 3/5 - 5/6
expression with brackets: 1/3 * (1/2 - 3 3/8)