# (1 3/7 ÷ 86/33) ÷ (43/40 ÷ 6) Complex Fractions Calculator

(1 3/7 ÷ 86/33) ÷ (43/40 ÷ 6) can be determined easily i.e. 39600/12943 taking the help of a Complex Fractions Calculator and you can get a detailed approach on how to solve.

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## Find Complex Fractions Calculation (1 3/7 ÷ 86/33) ÷ (43/40 ÷ 6)

Give Complex Fraction is (1 3/7 ÷ 86/33) ÷ (43/40 ÷ 6)

Simplifying Complex fractions

1 3/7 ÷ 86/33 = 10/7 ÷ 86/33

Method 1 : LCM Multiplication

The LCM of 7,33 (denominators of the fractions) is 231

## Finding LCM of 7,33 by Common Division

Arrange the Inputs 7,33 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 231

### Finding LCM of 7,33 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(7, 33) = 1

LCM(7, 33) = ( 7 x 33 ) / 1

LCM(7, 33) = 231 / 1

LCM(7, 33) = 231

LCM of 7,33 is 231

Multiply top and bottom by the LCM

231 x 10/7 ÷ 231 x 86/33= 330/602

Method 2 : Fraction Division

The given fractions are 10/7 and 86/33

On dividing the both fractions,10/7 ÷ 86/33

Then the denominator of the first fraction i.e., 7 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., 33 will comes to the numerator of the first fraction and gets multiplied:

10/7 ÷ 86/33 = 10 x 33/7 x 86

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

330/602

Result: 165/301

= 165/301

43/40 ÷ 6 = 43/40 ÷ 6/1

Method 1 : LCM Multiplication

The LCM of 40,1 (denominators of the fractions) is 40

## Finding LCM of 40,1 by Common Division

Arrange the Inputs 40,1 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 40

### Finding LCM of 40,1 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(40, 1) = 1

LCM(40, 1) = ( 40 x 1 ) / 1

LCM(40, 1) = 40 / 1

LCM(40, 1) = 40

LCM of 40,1 is 40

Multiply top and bottom by the LCM

40 x 43/40 ÷ 40 x 6/1= 43/240

Method 2 : Fraction Division

The given fractions are 43/40 and 6/1

On dividing the both fractions,43/40 ÷ 6/1

Then the denominator of the first fraction i.e., 40 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:

43/40 ÷ 6/1 = 43 x 1/40 x 6

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

43/240

Result: 43/240

= 43/240

The given fractions are 165/301 and 43/240

On dividing the both fractions,165/301 ÷ 43/240

Then the denominator of the first fraction i.e., 301 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., 240 will comes to the numerator of the first fraction and gets multiplied:

165/301 ÷ 43/240 = 165 x 240/301 x 43

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

39600/12943

Result: 39600/12943

### Complex Fractions Calculation Examples

Here are some samples of Complex Fractions calculations.

### FAQs on Complex Fractions (1 3/7 ÷ 86/33) ÷ (43/40 ÷ 6)

1. How to Calculate Complex Fractions (1 3/7 ÷ 86/33) ÷ (43/40 ÷ 6) using Calculator?

Simply input the fractions (1 3/7 ÷ 86/33) ÷ (43/40 ÷ 6) 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 (1 3/7 ÷ 86/33) ÷ (43/40 ÷ 6) ?

You can get a detailed procedure for Simplify of Complex Fractions (1 3/7 ÷ 86/33) ÷ (43/40 ÷ 6) on our page.

3. What is result of Complex Fractions (1 3/7 ÷ 86/33) ÷ (43/40 ÷ 6) ?

Result of Complex Fractions (1 3/7 ÷ 86/33) ÷ (43/40 ÷ 6) is 39600/12943 .