13/33 ÷ 67/51 Simplifying Complex Fractions Calculator

13/33 ÷ 67/51 Complex Fractions Simplification can be obtained easily & fastly using the Simplifying Complex Fractions Calculator in addition to the detailed work
 

Simplifying Complex Fractions 13/33 ÷ 67/51

13/33 ÷ 67/51 = 13/33 ÷ 67/51

Method 1 : LCM Multiplication

The LCM of 33,51 (denominators of the fractions) is 561

Finding LCM of 33,51 by Common Division

Arrange the Inputs 33,51 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.

3 33, 51
11, 17

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. 3 x 11 x 17 = 561

Therefore, LCM of 33,51 is 561

Finding LCM of 33,51 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(33, 51) = 3

LCM(33, 51) = ( 33 x 51 ) / 3

LCM(33, 51) = 1683 / 3

LCM(33, 51) = 561

LCM of 33,51 is 561

Multiply top and bottom by the LCM

561 x 13/33 ÷ 561 x 67/51= 221/737

Method 2 : Fraction Division

The given fractions are 13/33 and 67/51

On dividing the both fractions,13/33 ÷ 67/51

Then the denominator of the first fraction i.e., 33 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., 51 will comes to the numerator of the first fraction and gets multiplied:

13/33 ÷ 67/51 = 13 x 51/33 x 67

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

663/2211

Result: 221/737

= 221/737

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FAQs on Simplifying Complex Fractions 13/33 ÷ 67/51

1. What is Simplification of Complex Fractions 13/33 ÷ 67/51 ?

Simplification of Complex Fractions 13/33 ÷ 67/51 is 221/737 .

2. How to Simplify Complex Fractions 13/33 ÷ 67/51 ?

You can simplify Complex Fractions 13/33 ÷ 67/51 using the LCM Multiplication or Fraction Division Methods.

3. Where do I get the detailed procedure to simplify Complex Fractions 13/33 ÷ 67/51 ?

You can get the detailed procedure to simplify Complex Fractions 13/33 ÷ 67/51 on our page.