6 38/72 ÷ 20/8 Simplifying Complex Fractions Calculator

6 38/72 ÷ 20/8 Complex Fractions Simplification can be obtained easily & fastly using the Simplifying Complex Fractions Calculator in addition to the detailed work
 

Simplifying Complex Fractions 6 38/72 ÷ 20/8

6 38/72 ÷ 20/8 = 235/36 ÷ 20/8

Method 1 : LCM Multiplication

The LCM of 36,8 (denominators of the fractions) is 72

Finding LCM of 36,8 by Common Division

Arrange the Inputs 36,8 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.

2 36, 8
2 18, 4
9, 2

As all the numbers left in the last row are co primes you need not do the common division process further.

To obtain the Least Common Multiple, multiply the prime numbers with which you have divided the given numbers and the co primes in the last row i.e. 2 x 2 x 9 x 2 = 72

Therefore, LCM of 36,8 is 72

Finding LCM of 36,8 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(36, 8) = 4

LCM(36, 8) = ( 36 x 8 ) / 4

LCM(36, 8) = 288 / 4

LCM(36, 8) = 72

LCM of 36,8 is 72

Multiply top and bottom by the LCM

72 x 235/36 ÷ 72 x 20/8= 470/180

Method 2 : Fraction Division

The given fractions are 235/36 and 20/8

On dividing the both fractions,235/36 ÷ 20/8

Then the denominator of the first fraction i.e., 36 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., 8 will comes to the numerator of the first fraction and gets multiplied:

235/36 ÷ 20/8 = 235 x 8/36 x 20

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

1880/720

Result: 47/18

= 2 11/18

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FAQs on Simplifying Complex Fractions 6 38/72 ÷ 20/8

1. What is Simplification of Complex Fractions 6 38/72 ÷ 20/8 ?

Simplification of Complex Fractions 6 38/72 ÷ 20/8 is 2 11/18 .

2. How to Simplify Complex Fractions 6 38/72 ÷ 20/8 ?

You can simplify Complex Fractions 6 38/72 ÷ 20/8 using the LCM Multiplication or Fraction Division Methods.

3. Where do I get the detailed procedure to simplify Complex Fractions 6 38/72 ÷ 20/8 ?

You can get the detailed procedure to simplify Complex Fractions 6 38/72 ÷ 20/8 on our page.