Multiplication of Fractions

How to multiply two simple fractions:

Definition: The product of fractions is called a fraction whose numerator is equal to the product of the numerators of the original fractions, with a denominator equal to the product of the denominators of the original fractions.
Let's solve a fraction:
By definition: 1 multiply by 2 and 5 multiply by 3 and get the expression:

Important: When multiplying fractions with different denominators, there is no need to bring them to a common denominator.

Multiplication of a Fraction by a Natural Number:

Rule: To multiply a fraction by a natural number, multiply the numerator by this number, and keep the denominator the same.
Let's solve the expression:
Find the answer:
From the fraction calculate the whole part and get the answer

Multiplication of Mixed Numbers:

Rule: To find the product of mixed numbers, it is necessary:
- convert mixed fractions to improper fractions;
- multiply the numerators and denominators of the fractions;
- simplify the fraction;
- if an improper fraction is obtained, convert it to a mixed fraction.

Let's multiply mixed fractions:
Solution Algorithm:


Online Calculator for Multiplying Fractions:

Besides all of the above, the calculator performs the following operations:
-Multiplication of a whole number by a fraction
-Multiplication of fractions by a whole number
-Multiplication of natural fractions


Fraction Multiplication Calculator