# (4 5/8 ÷ 14/6) + (41/27 ÷ 7) Complex Fractions Calculator

(4 5/8 ÷ 14/6) + (41/27 ÷ 7) can be determined easily i.e. 475/216 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 (4 5/8 ÷ 14/6) + (41/27 ÷ 7)

Give Complex Fraction is (4 5/8 ÷ 14/6) + (41/27 ÷ 7)

Simplifying Complex fractions

4 5/8 ÷ 14/6 = 37/8 ÷ 14/6

Method 1 : LCM Multiplication

The LCM of 8,6 (denominators of the fractions) is 24

## Finding LCM of 8,6 by Common Division

Arrange the Inputs 8,6 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 8, 6 4, 3

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 4 x 3 = 24

Therefore, LCM of 8,6 is 24

Multiply top and bottom by the LCM

24 x 37/8 ÷ 24 x 14/6= 111/56

Method 2 : Fraction Division

The given fractions are 37/8 and 14/6

On dividing the both fractions,37/8 ÷ 14/6

Then the denominator of the first fraction i.e., 8 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., 6 will comes to the numerator of the first fraction and gets multiplied:

37/8 ÷ 14/6 = 37 x 6/8 x 14

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

222/112

Result: 111/56

= 1 55/56

41/27 ÷ 7 = 41/27 ÷ 7/1

Method 1 : LCM Multiplication

The LCM of 27,1 (denominators of the fractions) is 27

## Finding LCM of 27,1 by Common Division

Arrange the Inputs 27,1 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 27

Multiply top and bottom by the LCM

27 x 41/27 ÷ 27 x 7/1= 41/189

Method 2 : Fraction Division

The given fractions are 41/27 and 7/1

On dividing the both fractions,41/27 ÷ 7/1

Then the denominator of the first fraction i.e., 27 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:

41/27 ÷ 7/1 = 41 x 1/27 x 7

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

41/189

Result: 41/189

= 41/189

The given fractions are 111/56 and 41/189

Firstly the L.C.M should be done for the denominators of the two fractions 111/56 and 41/189

111/56+41/189

The LCM of 56 and 189 (denominators of the fractions) is 1512
 7 56, 189 8, 27

So the lcm of the given numbers is 7 x 8 x 27 = 1512

= 111 x 27 + 41 x 8/1512

= 2997 + 328/1512

= 3325/1512

= 475/216

Result: 475/216

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### FAQs on Complex Fractions (4 5/8 ÷ 14/6) + (41/27 ÷ 7)

1. How to Calculate Complex Fractions (4 5/8 ÷ 14/6) + (41/27 ÷ 7) using Calculator?

Simply input the fractions (4 5/8 ÷ 14/6) + (41/27 ÷ 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 (4 5/8 ÷ 14/6) + (41/27 ÷ 7) ?

You can get a detailed procedure for Simplify of Complex Fractions (4 5/8 ÷ 14/6) + (41/27 ÷ 7) on our page.

3. What is result of Complex Fractions (4 5/8 ÷ 14/6) + (41/27 ÷ 7) ?

Result of Complex Fractions (4 5/8 ÷ 14/6) + (41/27 ÷ 7) is 475/216 .