# (7 3/4 ÷ 33/86) ÷ (40/43 ÷ 8) Complex Fractions Calculator

(7 3/4 ÷ 33/86) ÷ (40/43 ÷ 8) can be determined easily i.e. 57319/330 taking the help of a Complex Fractions Calculator and you can get a detailed approach on how to solve.

 ÷ - + ×

## Find Complex Fractions Calculation (7 3/4 ÷ 33/86) ÷ (40/43 ÷ 8)

Give Complex Fraction is (7 3/4 ÷ 33/86) ÷ (40/43 ÷ 8)

Simplifying Complex fractions

7 3/4 ÷ 33/86 = 31/4 ÷ 33/86

Method 1 : LCM Multiplication

The LCM of 4,86 (denominators of the fractions) is 172

## Finding LCM of 4,86 by Common Division

Arrange the Inputs 4,86 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, 86 2, 43

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 43 = 172

Therefore, LCM of 4,86 is 172

### Finding LCM of 4,86 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, 86) = 2

LCM(4, 86) = ( 4 x 86 ) / 2

LCM(4, 86) = 344 / 2

LCM(4, 86) = 172

LCM of 4,86 is 172

Multiply top and bottom by the LCM

172 x 31/4 ÷ 172 x 33/86= 1333/66

Method 2 : Fraction Division

The given fractions are 31/4 and 33/86

On dividing the both fractions,31/4 ÷ 33/86

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

31/4 ÷ 33/86 = 31 x 86/4 x 33

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

2666/132

Result: 1333/66

= 20 13/66

40/43 ÷ 8 = 40/43 ÷ 8/1

Method 1 : LCM Multiplication

The LCM of 43,1 (denominators of the fractions) is 43

## Finding LCM of 43,1 by Common Division

Arrange the Inputs 43,1 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 43

### Finding LCM of 43,1 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(43, 1) = 1

LCM(43, 1) = ( 43 x 1 ) / 1

LCM(43, 1) = 43 / 1

LCM(43, 1) = 43

LCM of 43,1 is 43

Multiply top and bottom by the LCM

43 x 40/43 ÷ 43 x 8/1= 40/344

Method 2 : Fraction Division

The given fractions are 40/43 and 8/1

On dividing the both fractions,40/43 ÷ 8/1

Then the denominator of the first fraction i.e., 43 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:

40/43 ÷ 8/1 = 40 x 1/43 x 8

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

40/344

Result: 5/43

= 5/43

The given fractions are 1333/66 and 5/43

On dividing the both fractions,1333/66 ÷ 5/43

Then the denominator of the first fraction i.e., 66 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., 43 will comes to the numerator of the first fraction and gets multiplied:

1333/66 ÷ 5/43 = 1333 x 43/66 x 5

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

57319/330

Result: 57319/330

### Complex Fractions Calculation Examples

Here are some samples of Complex Fractions calculations.

### FAQs on Complex Fractions (7 3/4 ÷ 33/86) ÷ (40/43 ÷ 8)

1. How to Calculate Complex Fractions (7 3/4 ÷ 33/86) ÷ (40/43 ÷ 8) using Calculator?

Simply input the fractions (7 3/4 ÷ 33/86) ÷ (40/43 ÷ 8) 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 (7 3/4 ÷ 33/86) ÷ (40/43 ÷ 8) ?

You can get a detailed procedure for Simplify of Complex Fractions (7 3/4 ÷ 33/86) ÷ (40/43 ÷ 8) on our page.

3. What is result of Complex Fractions (7 3/4 ÷ 33/86) ÷ (40/43 ÷ 8) ?

Result of Complex Fractions (7 3/4 ÷ 33/86) ÷ (40/43 ÷ 8) is 57319/330 .