# Fractions & Mixed Numbers Multiplication Calculator

getcalc.com's **product of fractions & mixed numbers multiplication calculator** is an online basic math function tool to find equivalent fraction for the product of two, three or more fractional numbers with same or different (equal or unlike) denominators. Users may use this calculator to generate complete workout for the given input values to verify or practice the fractions multiplication worksheet problems with step by step calculations. To know or verify the multiplication between two or more fractions, supply the input values to generate the complete workout with step by step calculation to help elementary or grade school students to solve the worksheet or homework problems efficiently.

## Product of Multiple Fractions & Formula

**Product of Multiple Fractions** is a basic arithmetic operation used to find the product of two, three or more whole numbers, positive and or negative fractions. Multiply any number of fractions with like or unlike denominators, positive and negative fractions, or fractions with whole numbers by using this multiple fractions multiplication formula & calculator.

## How to Find the Product of Multiple Fractions

The multiplication for fractions which are having the same or equal denominators is the simplified fraction or the product of numerators divided by the product of denominators. The procedure to find the product is same for fractions with same or different denominators. Users may refer the below solved examples with step by step calculation to learn how to find the equivalent fraction by multiplying two, three or more fraction numbers with same or unlike denominators.

- How to find product of two, three or more fractions?
- How to find product of multiple fractions and whole numbers?
- How to find product of multiple positive & negative fraction numbers?

### Multiplying Three Fractions

The below solved example with step by step calculation or workout may help users to learn how to find the equivalent fraction by multiplying three fractions with same or different denominators.

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

**Step by step workout**

step 1 Address formula, input parameters & values.

Input parameters & 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

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

### Multiplying Multiple Fractions & Whole Numbers

The below solved example with step by step workout may help users to know how to find the equivalent fraction by multiplying multiple fractions (with unlike or different denominators) and whole numbers.

**Problem**

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

**Step by step workout**

step 1 Address formula, input parameters & values.

Input parameters & 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 & simplify the fraction using steps 3 & 4

=360/63

=40/7

2/3x 5 x 4/7x1/3 x 9 =40/7

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

### Multiplying Multiple Positive & Negative Fractions

The below solved example with step by step calculation may help users to know how to find the equivalent fraction by multiplying multiple whole numbers, positive & negative fractions (with unlike or different denominators) 1/2, 1/4, -1/3, 7, 1/6, -4 & 2/5.

**Problem**

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

step 1 Address formula, input parameters & values.

Input parameters & 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 & simplify the fraction using steps 3 & 4

=56/720

=7/90

1/2x1/4x-1/3x7/1x1/6x-4/1x2/5=7/90

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

#### Two or More Fractions & Mixed Numbers Multiplication

The below solved example for multiplication between two or more fractions, mixed numbers & whole numbers. The fraction numbers include regular, irregular, negative or positive fractions with same or unlike denominators. The below step by step work guides how to find equivalent fraction for multiplying multiple fractions, mixed & whole numbers 1/3, 3/5, 6, 7(4/9), 5(5/6) and 4/3.
**Problem**

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

**Step by step workout**

step 1 Address formula, input parameters & values.

Input parameters & 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 & simplify the fraction using steps 5 & 6

=168840/2430

=1876/27

1/3x3/5x 6 x 74/9x 5 5/6x4/3=1876/27

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