Multiplying Fractions Calculator

A Multiplying Fractions Calculator is a specialized tool designed to simplify the process of multiplying two or more fractions.

Consider multiplying 2/3 by 3/4:

Input the fractions: 2/3 × 3/4

The calculator processes the multiplication

It provides the result: 1/2

Multiplying Fractions Calculator

Fraction 1	Fraction 2	Result
1/2	3/4	3/8
2/5	3/7	6/35
3/8	2/3	1/4
5/6	4/9	10/27
7/10	1/2	7/20
1/3	2/5	2/15
4/7	3/8	12/56 = 3/14 (simplified)
5/12	1/4	5/48
3/10	2/3	6/30 = 1/5 (simplified)
9/11	5/6	45/66 = 15/22 (simplified)

Multiplying Fractions Formula

To multiply fractions, multiply the numerators together and the denominators together.

(a/b) × (c/d) = (a × c) / (b × d)

Where:

• a and c are the numerators of the fractions
• b and d are the denominators of the fractions

1: 1/2 × 3/4

Multiply numerators: 1 × 3 = 3

Multiply denominators: 2 × 4 = 8

Result: 3/8

2: 2/5 × 5/6

Multiply numerators: 2 × 5 = 10

Multiply denominators: 5 × 6 = 30

Result: 10/30, which simplifies to 1/3

3: 3/4 × 2/3 × 1/2

Multiply all numerators: 3 × 2 × 1 = 6

Multiply all denominators: 4 × 3 × 2 = 24

Result: 6/24, which simplifies to 1/4

How do you multiply fractions?

1. Identify the fractions: Clearly write out the fractions you want to multiply.
2. Multiply the numerators: Multiply all the top numbers (numerators) together.
3. Multiply the denominators: Multiply all the bottom numbers (denominators) together.
4. Write the result: Place the product of the numerators over the product of the denominators.
5. Simplify if possible: Reduce the resulting fraction to its lowest terms by finding the greatest common factor (GCF) of the numerator and denominator.

Example: 2/3 × 4/5

We have identified our fractions: 2/3 and 4/5

Multiply numerators: 2 × 4 = 8

Multiply denominators: 3 × 5 = 15

Write the result: 8/15

Simplify: In this case, 8/15 is already in its simplest form as 8 and 15 have no common factors other than 1.

Result, 2/3 × 4/5 = 8/15

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