14/18 ÷ 9 33/40 Simplifying Complex Fractions Calculator

14/18 ÷ 9 33/40 Complex Fractions Simplification can be obtained easily & fastly using the Simplifying Complex Fractions Calculator in addition to the detailed work
 

Simplifying Complex Fractions 14/18 ÷ 9 33/40

14/18 ÷ 9 33/40 = 14/18 ÷ 393/40

Method 1 : LCM Multiplication

The LCM of 18,40 (denominators of the fractions) is 360

Finding LCM of 18,40 by Common Division

Arrange the Inputs 18,40 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 18, 40
9, 20

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 9 x 20 = 360

Therefore, LCM of 18,40 is 360

Finding LCM of 18,40 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(18, 40) = 2

LCM(18, 40) = ( 18 x 40 ) / 2

LCM(18, 40) = 720 / 2

LCM(18, 40) = 360

LCM of 18,40 is 360

Multiply top and bottom by the LCM

360 x 14/18 ÷ 360 x 393/40= 280/3537.0

Method 2 : Fraction Division

The given fractions are 14/18 and 393/40

On dividing the both fractions,14/18 ÷ 393/40

Then the denominator of the first fraction i.e., 18 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., 40 will comes to the numerator of the first fraction and gets multiplied:

14/18 ÷ 393/40 = 14 x 40/18 x 393

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

560/7074

Result: 280/3537

= 280/3537

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FAQs on Simplifying Complex Fractions 14/18 ÷ 9 33/40

1. What is Simplification of Complex Fractions 14/18 ÷ 9 33/40 ?

Simplification of Complex Fractions 14/18 ÷ 9 33/40 is 280/3537 .

2. How to Simplify Complex Fractions 14/18 ÷ 9 33/40 ?

You can simplify Complex Fractions 14/18 ÷ 9 33/40 using the LCM Multiplication or Fraction Division Methods.

3. Where do I get the detailed procedure to simplify Complex Fractions 14/18 ÷ 9 33/40 ?

You can get the detailed procedure to simplify Complex Fractions 14/18 ÷ 9 33/40 on our page.