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:

2 * 1/3 = 2/30.6666667

Spelled result in words is two thirds.

How do we solve fractions step by step?

  1. Multiple: 2 * 1/3 = 2 · 1/1 · 3 = 2/3
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(2, 3) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
    In other words - two multiplied by one third is two 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


SymbolSymbol nameSymbol MeaningExample
+plus signaddition 1/2 + 1/3
-minus signsubtraction 1 1/2 - 2/3
*asteriskmultiplication 2/3 * 3/4
×times signmultiplication 2/3 × 5/6
:division signdivision 1/2 : 3
/division slashdivision 1/3 / 5
:coloncomplex fraction 1/2 : 1/3
^caretexponentiation / power 1/4^3
()parenthesescalculate expression inside first-3/5 - (-1/4)