Fraction calculator



This calculator multiplies fractions. Multiplies all numerators and places the result over the product of all denominators. Then simplify the result to the lowest terms or a mixed number.

The result:

3/5×7/9 = 7/15 ≅ 0.4666667

Spelled result in words is seven fifteenths.

How do we solve fractions step by step?

  1. Multiple: 3/5 * 7/9 = 3 · 7/5 · 9 = 21/45 = 7 · 3/15 · 3 = 7/15
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(21, 45) = 3. In the following intermediate step, cancel by a common factor of 3 gives 7/15.
    In other words - three fifths multiplied by seven ninths is seven fifteenths.

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)

Fractions in word problems:



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