(2 9/30 ÷ 14/27) ÷ (37/62 ÷ 7) can be determined easily i.e. 19251/370 taking the help of a Complex Fractions Calculator and you can get a detailed approach on how to solve.






 

Find Complex Fractions Calculation (2 9/30 ÷ 14/27) ÷ (37/62 ÷ 7)

Give Complex Fraction is (2 9/30 ÷ 14/27) ÷ (37/62 ÷ 7)

Simplifying Complex fractions

2 9/30 ÷ 14/27 = 23/10 ÷ 14/27

Method 1 : LCM Multiplication

The LCM of 10,27 (denominators of the fractions) is 270

Finding LCM of 10,27 by Common Division

Arrange the Inputs 10,27 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 270

Finding LCM of 10,27 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(10, 27) = 1

LCM(10, 27) = ( 10 x 27 ) / 1

LCM(10, 27) = 270 / 1

LCM(10, 27) = 270

LCM of 10,27 is 270

Multiply top and bottom by the LCM

270 x 23/10 ÷ 270 x 14/27= 621/140

Method 2 : Fraction Division

The given fractions are 23/10 and 14/27

On dividing the both fractions,23/10 ÷ 14/27

Then the denominator of the first fraction i.e., 10 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., 27 will comes to the numerator of the first fraction and gets multiplied:

23/10 ÷ 14/27 = 23 x 27/10 x 14

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

621/140

Result: 621/140

= 4 61/140

37/62 ÷ 7 = 37/62 ÷ 7/1

Method 1 : LCM Multiplication

The LCM of 62,1 (denominators of the fractions) is 62

Finding LCM of 62,1 by Common Division

Arrange the Inputs 62,1 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 62

Finding LCM of 62,1 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(62, 1) = 1

LCM(62, 1) = ( 62 x 1 ) / 1

LCM(62, 1) = 62 / 1

LCM(62, 1) = 62

LCM of 62,1 is 62

Multiply top and bottom by the LCM

62 x 37/62 ÷ 62 x 7/1= 37/434

Method 2 : Fraction Division

The given fractions are 37/62 and 7/1

On dividing the both fractions,37/62 ÷ 7/1

Then the denominator of the first fraction i.e., 62 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:

37/62 ÷ 7/1 = 37 x 1/62 x 7

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

37/434

Result: 37/434

= 37/434

The given fractions are 621/140 and 37/434

On dividing the both fractions,621/140 ÷ 37/434

Then the denominator of the first fraction i.e., 140 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., 434 will comes to the numerator of the first fraction and gets multiplied:

621/140 ÷ 37/434 = 621 x 434/140 x 37

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

269514/5180

Result: 19251/370

FAQs on Complex Fractions (2 9/30 ÷ 14/27) ÷ (37/62 ÷ 7)

1. How to Calculate Complex Fractions (2 9/30 ÷ 14/27) ÷ (37/62 ÷ 7) using Calculator?

Simply input the fractions (2 9/30 ÷ 14/27) ÷ (37/62 ÷ 7) 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 (2 9/30 ÷ 14/27) ÷ (37/62 ÷ 7) ?

You can get a detailed procedure for Simplify of Complex Fractions (2 9/30 ÷ 14/27) ÷ (37/62 ÷ 7) on our page.


3. What is result of Complex Fractions (2 9/30 ÷ 14/27) ÷ (37/62 ÷ 7) ?

Result of Complex Fractions (2 9/30 ÷ 14/27) ÷ (37/62 ÷ 7) is 19251/370 .