Fraction calculator



This calculator multiplies a fraction by integer or whole number. To multiple fraction by a whole number, we multiple the numerator by the whole number. Then simplify the result to the lowest terms or a mixed number.

The result:

3/8 * 100 = 75/2 = 37 1/2 = 37.5

The spelled result in words is seventy-five halfs (or thirty-seven and one half).

How do we solve fractions step by step?

  1. Multiple: 3/8 * 100 = 3 · 100/8 · 1 = 300/8 = 75 · 4/2 · 4 = 75/2
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(300, 8) = 4. In the following intermediate step, cancel by a common factor of 4 gives 75/2.
    In other words - three eighths multiplied by one hundred is seventy-five halfs.




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


OpSymbol 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)