(4 6/8 ÷ 78/90) ÷ (71/62 ÷ 9) can be determined easily i.e. 79515/1846 taking the help of a Complex Fractions Calculator and you can get a detailed approach on how to solve.






 

Find Complex Fractions Calculation (4 6/8 ÷ 78/90) ÷ (71/62 ÷ 9)

Give Complex Fraction is (4 6/8 ÷ 78/90) ÷ (71/62 ÷ 9)

Simplifying Complex fractions

4 6/8 ÷ 78/90 = 19/4 ÷ 78/90

Method 1 : LCM Multiplication

The LCM of 4,90 (denominators of the fractions) is 180

Finding LCM of 4,90 by Common Division

Arrange the Inputs 4,90 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 4, 90
2, 45

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 45 = 180

Therefore, LCM of 4,90 is 180

Finding LCM of 4,90 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(4, 90) = 2

LCM(4, 90) = ( 4 x 90 ) / 2

LCM(4, 90) = 360 / 2

LCM(4, 90) = 180

LCM of 4,90 is 180

Multiply top and bottom by the LCM

180 x 19/4 ÷ 180 x 78/90= 855/156

Method 2 : Fraction Division

The given fractions are 19/4 and 78/90

On dividing the both fractions,19/4 ÷ 78/90

Then the denominator of the first fraction i.e., 4 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., 90 will comes to the numerator of the first fraction and gets multiplied:

19/4 ÷ 78/90 = 19 x 90/4 x 78

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

1710/312

Result: 285/52

= 5 25/52

71/62 ÷ 9 = 71/62 ÷ 9/1

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 71/62 ÷ 62 x 9/1= 71/558

Method 2 : Fraction Division

The given fractions are 71/62 and 9/1

On dividing the both fractions,71/62 ÷ 9/1

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:

71/62 ÷ 9/1 = 71 x 1/62 x 9

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

71/558

Result: 71/558

= 71/558

The given fractions are 285/52 and 71/558

On dividing the both fractions,285/52 ÷ 71/558

Then the denominator of the first fraction i.e., 52 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., 558 will comes to the numerator of the first fraction and gets multiplied:

285/52 ÷ 71/558 = 285 x 558/52 x 71

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

159030/3692

Result: 79515/1846

FAQs on Complex Fractions (4 6/8 ÷ 78/90) ÷ (71/62 ÷ 9)

1. How to Calculate Complex Fractions (4 6/8 ÷ 78/90) ÷ (71/62 ÷ 9) using Calculator?

Simply input the fractions (4 6/8 ÷ 78/90) ÷ (71/62 ÷ 9) 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 (4 6/8 ÷ 78/90) ÷ (71/62 ÷ 9) ?

You can get a detailed procedure for Simplify of Complex Fractions (4 6/8 ÷ 78/90) ÷ (71/62 ÷ 9) on our page.


3. What is result of Complex Fractions (4 6/8 ÷ 78/90) ÷ (71/62 ÷ 9) ?

Result of Complex Fractions (4 6/8 ÷ 78/90) ÷ (71/62 ÷ 9) is 79515/1846 .