67/36 ÷ 7 11/42 Simplifying Complex Fractions Calculator

67/36 ÷ 7 11/42 Complex Fractions Simplification can be obtained easily & fastly using the Simplifying Complex Fractions Calculator in addition to the detailed work
 

Simplifying Complex Fractions 67/36 ÷ 7 11/42

67/36 ÷ 7 11/42 = 67/36 ÷ 305/42

Method 1 : LCM Multiplication

The LCM of 36,42 (denominators of the fractions) is 252

Finding LCM of 36,42 by Common Division

Arrange the Inputs 36,42 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, 42
3 18, 21
6, 7

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 3 x 6 x 7 = 252

Therefore, LCM of 36,42 is 252

Finding LCM of 36,42 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, 42) = 6

LCM(36, 42) = ( 36 x 42 ) / 6

LCM(36, 42) = 1512 / 6

LCM(36, 42) = 252

LCM of 36,42 is 252

Multiply top and bottom by the LCM

252 x 67/36 ÷ 252 x 305/42= 469/1830

Method 2 : Fraction Division

The given fractions are 67/36 and 305/42

On dividing the both fractions,67/36 ÷ 305/42

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., 42 will comes to the numerator of the first fraction and gets multiplied:

67/36 ÷ 305/42 = 67 x 42/36 x 305

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

2814/10980

Result: 469/1830

= 469/1830

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FAQs on Simplifying Complex Fractions 67/36 ÷ 7 11/42

1. What is Simplification of Complex Fractions 67/36 ÷ 7 11/42 ?

Simplification of Complex Fractions 67/36 ÷ 7 11/42 is 469/1830 .

2. How to Simplify Complex Fractions 67/36 ÷ 7 11/42 ?

You can simplify Complex Fractions 67/36 ÷ 7 11/42 using the LCM Multiplication or Fraction Division Methods.

3. Where do I get the detailed procedure to simplify Complex Fractions 67/36 ÷ 7 11/42 ?

You can get the detailed procedure to simplify Complex Fractions 67/36 ÷ 7 11/42 on our page.