# (3 2/4 ÷ 31/65) × (21/38 ÷ 4) Complex Fractions Calculator

(3 2/4 ÷ 31/65) × (21/38 ÷ 4) can be determined easily i.e. 9555/9424 taking the help of a Complex Fractions Calculator and you can get a detailed approach on how to solve.

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## Find Complex Fractions Calculation (3 2/4 ÷ 31/65) × (21/38 ÷ 4)

Give Complex Fraction is (3 2/4 ÷ 31/65) × (21/38 ÷ 4)

Simplifying Complex fractions

3 2/4 ÷ 31/65 = 7/2 ÷ 31/65

Method 1 : LCM Multiplication

The LCM of 2,65 (denominators of the fractions) is 130

## Finding LCM of 2,65 by Common Division

Arrange the Inputs 2,65 in a horizontal line separated by commas and divide them with a prime number. Note the quotients in the next row and divide with quotients with prime numbers again. Continue the process until you have all co primes in the last.

Given numbers has no common factors except 1. So, there LCM is their product i.e 130

### Finding LCM of 2,65 using GCF Formula

Step1:

Let's calculate the LCM of first two numbers

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(2, 65) = 1

LCM(2, 65) = ( 2 x 65 ) / 1

LCM(2, 65) = 130 / 1

LCM(2, 65) = 130

LCM of 2,65 is 130

Multiply top and bottom by the LCM

130 x 7/2 ÷ 130 x 31/65= 455/62

Method 2 : Fraction Division

The given fractions are 7/2 and 31/65

On dividing the both fractions,7/2 ÷ 31/65

Then the denominator of the first fraction i.e., 2 will comes to the numerator of the second fraction and gets multiplied,

And in the same way,the denominator of the second fraction i.e., 65 will comes to the numerator of the first fraction and gets multiplied:

7/2 ÷ 31/65 = 7 x 65/2 x 31

On Multiplying the denominators and the numerators,the fraction value we get,

455/62

Result: 455/62

= 7 21/62

21/38 ÷ 4 = 21/38 ÷ 4/1

Method 1 : LCM Multiplication

The LCM of 38,1 (denominators of the fractions) is 38

## Finding LCM of 38,1 by Common Division

Arrange the Inputs 38,1 in a horizontal line separated by commas and divide them with a prime number. Note the quotients in the next row and divide with quotients with prime numbers again. Continue the process until you have all co primes in the last.

Given numbers has no common factors except 1. So, there LCM is their product i.e 38

### Finding LCM of 38,1 using GCF Formula

Step1:

Let's calculate the LCM of first two numbers

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(38, 1) = 1

LCM(38, 1) = ( 38 x 1 ) / 1

LCM(38, 1) = 38 / 1

LCM(38, 1) = 38

LCM of 38,1 is 38

Multiply top and bottom by the LCM

38 x 21/38 ÷ 38 x 4/1= 21.0/152

Method 2 : Fraction Division

The given fractions are 21/38 and 4/1

On dividing the both fractions,21/38 ÷ 4/1

Then the denominator of the first fraction i.e., 38 will comes to the numerator of the second fraction and gets multiplied,

And in the same way,the denominator of the second fraction i.e., 1 will comes to the numerator of the first fraction and gets multiplied:

21/38 ÷ 4/1 = 21 x 1/38 x 4

On Multiplying the denominators and the numerators,the fraction value we get,

21/152

Result: 21/152

= 21/152

The given fractions are 455/62 and 21/152

Firstly the numerators 455 and 21 are multiplied and

Then the denominators 62 and 152 are multiplied

= 455 x 21/62 x 152

= 9555/9424

The Fraction Value we get,

Result: 9555/9424

### Complex Fractions Calculation Examples

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### FAQs on Complex Fractions (3 2/4 ÷ 31/65) × (21/38 ÷ 4)

1. How to Calculate Complex Fractions (3 2/4 ÷ 31/65) × (21/38 ÷ 4) using Calculator?

Simply input the fractions (3 2/4 ÷ 31/65) × (21/38 ÷ 4) in the input fields and select the Operation from the drop down and hit the calculate button.

2. Where do I get a detailed procedure for Simplify of Complex Fractions (3 2/4 ÷ 31/65) × (21/38 ÷ 4) ?

You can get a detailed procedure for Simplify of Complex Fractions (3 2/4 ÷ 31/65) × (21/38 ÷ 4) on our page.

3. What is result of Complex Fractions (3 2/4 ÷ 31/65) × (21/38 ÷ 4) ?

Result of Complex Fractions (3 2/4 ÷ 31/65) × (21/38 ÷ 4) is 9555/9424 .