Unlike and Improper Fractions Multiplication Calculator

Multiplying fractions, whether they have like (equal) or unlike (different) denominators, follows a straightforward process. Unlike fraction addition or subtraction, you do not need to find a common denominator to multiply fractions. You simply multiply all the numerators together to find the new numerator, and multiply all the denominators together to find the new denominator, then simplify the resulting fraction to its simplest form. You can use the step-by-step solved examples below to learn how to find the product of multiple unlike fractions, mixed numbers, and integers.

The solved example below shows the step-by-step workout for finding the product of three like, unlike and improper fractions. You can use our unlike fractions multiplication calculator to find the product of any number of like, unlike and improper fractions to generate the step by step workout like the one below.

Problem
Find the product of three fractions 1/2, 3/8 and 2/7.

Step by step workout
step 1 Address formula and input values.
Input values:
1/2,3/8,2/7
1/2x3/8x2/7 = ?

step 2 Multiply all the numerators
1 x 3 x 2 = 6

step 3 Multiply all the denominators
2 x 8 x 7 = 112

step 4 Substitute in the fraction
=6/112
= 3/56
1/2x3/8 x 2/7 = 3/56

3/56 is the product of multiplying three fractions 1/2, 3/8 and 2/7.

The solved example below shows the step-by-step workout for multiplying multiple unlike fractions with whole numbers. You can use this unlike fractions multiplication calculator to find the product of any number of like, unlike, improper fractions and whole numbers to generate the step by step workout like the below.

Problem
Find the product of fractions and whole numbers such as 2/3, 5, 4/7, 1/3 and 9.

Step by step workout
step 1 Address formula and input values.
Input values:
2/3, 5 , 4/7,1/3 , 9
2/3x5x4/7x1/3x 9 = ?

step 2 Convert whole numbers to fractions and rewrite as below
Any whole number or integer is a rational number (quotient of 1), hence the denominators for all whole numbers is 1 and can be written as
5 =5/1
9 =9/1

step 3 Arrange all the numbers as fractions.
2/3x5/1x4/7x1/3x9/1

step 4 Multiply all the numerators
= 2 x 5 x 4 x 1 x 9
= 360

step 5 Multiply all the denominators
= 3 x 1 x 7 x 3 x 1
= 63

step 6 Rewrite and simplify the fraction using steps 3 and 4
=360/63
=40/7
2/3x 5 x 4/7x1/3 x 9 =40/7

40/7 is the equivalent fraction by multiplying multiple fractions and whole numbers such as 2/3, 5, 4/7, 1/3 and 9.

The solved example below shows the step-by-step workout for multiplying multiple positive and negative fractions, integers, and mixed numbers. You can use this unlike fractions multiplication calculator to find the product of any number of like and unlike positive and negative fractions to generate the step by step workout below.

Problem
Find the product of positive and negative fractions (with unlike or different denominators) and whole numbers 1/2, 1/4, -1/3, 7, 1/6, -4 and 2/5.

step 1 Address formula and input values.
Input values:
1/2,1/4,-1/3, 7 ,1/6, -4 ,2/5
1/2x1/4x-1/3x 7 x1/6x -4 x2/5 = ?

step 2 Convert the whole numbers to fractions, if any
7 =7/1
-4 = -4/1

step 3 Arrange all the numbers as fractions.
1/2x1/4x-1/3x7/1x1/6x-4/1x2/5

step 4 Multiply all the numerators
If the count of negative numbers is odd, then the result is negative.
If the count of negative numbers is even, then the result is positive.
= 1 x 1 x -1 x 7 x 1 x -4 x 2
= 56

step 5 Multiply all the denominators
= 2 x 4 x 3 x 1 x 6 x 1 x 5
= 720

step 6 Rewrite and simplify the fraction using steps 3 and 4
=56/720
=7/90
1/2x1/4x-1/3x7/1x1/6x-4/1x2/5=7/90

7/90 is the equivalent fraction by multiplying multiple whole numbers, positive and negative fractions (with unlike or different denominators) 1/2, 1/4, -1/3, 7, 1/6, -4 and 2/5.

The solved example below shows how to multiply a set of mixed numbers, integers, and unlike fractions using the step-by-step conversion method. You can use this unlike fractions multiplication calculator to find the product of any number of mixed numbers, whole numbers and proper fractions.

Problem
Find the product of multiple fractions, mixed and whole numbers 1/3, 3/5, 6, 7(4/9), 5(5/6), 4/3.

Step by step workout
step 1 Address formula and input values.
Input values:
1/3,3/5, 6 , 74/9, 5 5/6,4/3
1/3x3/5x 6 x 74/9x 5 5/6x4/3= ?

step 2 Convert the whole numbers to fractions, if any
6 =6/1

step 3 Convert mixed fractions to fractions and rewrite as below
7 4/9= ((7 x 9) + 4)/9= 67/9
5 5/6= ((5 x 6) + 5)/6= 35/6

step 4 Arrange all the numbers as fractions.
1/3x3/5 x 6/1 x 67/9x 35/6x4/3

step 5 Multiply all the numerators
= 1 x 3 x 6 x 67 x 35 x 4
= 168840

step 6 Multiply all the denominators
= 3 x 5 x 1 x 9 x 6 x 3
= 2430

step 6 Rewrite and simplify the fraction using steps 5 and 6
=168840/2430
=1876/27
1/3x3/5x 6 x 74/9x 5 5/6x4/3=1876/27

1876/27 is the equivalent fraction by multiplying multiple fractions, mixed and whole numbers 1/3, 3/5, 6, 7(4/9), 5(5/6) and 4/3.

Whether you are working with proper, improper, like, or unlike fractions, mixed numbers, or integers, this improper and unlike fractions multiplication calculator is designed to make finding the product simple and efficient. Just enter your math problems in the input field above to instantly compute the simplified product and view detailed step-by-step calculations today!