Multiplying Fractions Calculator

This multiplying fractions calculator can let you rapidly calculate the multiplication of two fractions. This calculator can quickly multiply two fractions, whether they are negative or positive, in the blink of an eye.

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A fraction is a number formed by the ratio of two integers. If ‘a’ and ‘b’ are two numbers, then a/b is a fraction if d≠0; otherwise, the fraction is undefined.

Some of the common examples of fractions are 5/10 , 3/2 , – 1/2 , 31/2 (mixed fraction) etc…

Positive and negative fractions are also possible. The numerator is the highest number in a fraction, while the denominator is the lowest. The fraction is incorrect if the numerator is greater than the denominator.

When a fraction is added to a whole number, we call it a “mixed number.” A proper fraction has a denominator that is greater than the numerator. Proper fractions are also known as common fractions and simple fractions.

Multiplying Fractions Calculator Use

  • This calculator is simple to operate and use.
  • In both fields, enter the fraction values.
  • The rest will be handled by the calculator.
  • The solution will be provided in both fraction and decimal form.

Solved Example on Multiplying Fractions

It’s easier to multiply fractions than it is to add and subtract them. We multiply the numerators and denominators together and express the result as a single fraction when we multiply two fractions together.

Example 1 : Multiplying two fractions.

Multiply 11/8 x 8/5

Solution :

While multiplying the fractions we can directly multiply the numerators and denominators of both the fractions together.

11/8 x 8/5 = 11×8/8×5 = 88/40

By simplifying,

88/40 = 11/5 ….(by dividing numerator and denominator by 8)

The result can also be converted to mixed number format. When the numerator is more than the denominator, this is done. It’s referred to as improper fraction.

Steps to convert improper fraction to mixed number fraction are mentioned below.

multiplying fractions
  • To begin, divide the numerator by the denominator, as follows: 11 ÷ 5 = 2.
  • The remainder is 1 and the quotient is 2.
  • Make 2 the whole number and the remainder (1) the new numerator on the same old denominator (5).
  • As a result, 11/5 will be changed to a mixed fraction of 21/5.

Example 2 : Multiply Fractions

Multiply 5/8 x 4/15

Solution :

While multiplying the fractions we can directly multiply the numerators and denominators of both the fractions together.

5/8 x 4/15 = 5×4/8×15 = 20/120

By simplifying,

20/120 = 1/6 ….(by dividing numerator and denominator by 20)

Because the numerator is less than the denominator, the result is a proper fraction. As a result, no conversion to mixed number format is required.