Determine the Sum of Mixed Numbers 235/62 and 627/78 easily using the Mixed Numbers Calculator and get the step by step process involved.






Elaborate Solution to find Sum of Mixed Numbers 235/62 and 627/78

The given mixed numbers are 235/62 and 627/78

Converting 235/62 mix number to fraction

Given Mixed Number is 2 35/62

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 2 and the fractional part is 35/62.

On adding them, they can be written as:

2/1 + 35/62

The L.C.M of the denominators 1 and 62 is 62.

The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 62.

2 x 62 + 35/62

124 + 35/62

After multiplying, the numerators 124 and 35 should be added.

159/62

The fraction value we get is 159/62.

After converting the Mixed Number 2 35/62 to the Improper Fraction,the result is 159/62.

Converting 627/78 mix number to fraction

Given Mixed Number is 6 27/78

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 6 and the fractional part is 27/78.

On adding them, they can be written as:

6/1 + 27/78

The L.C.M of the denominators 1 and 78 is 78.

The numerator of the first fraction 6 is multiplied with the denominator of the second fraction 78.

6 x 78 + 27/78

468 + 27/78

After multiplying, the numerators 468 and 27 should be added.

495/78

The fraction value we get is 495/78.

On simplifying the fraction,we get:

165/26

After converting the Mixed Number 6 27/78 to the Improper Fraction,the result is 165/26.

Adding fractions 159/62 and 165/26

The given fractions are 159/62 and 165/26

Firstly the L.C.M should be done for the denominators of the two fractions 159/62 and 165/26

159/62+165/26

The LCM of 62 and 26 (denominators of the fractions) is 806
2 62, 26
31, 13

So the lcm of the given numbers is 2 x 31 x 13 = 806


= 159 x 13 + 165 x 31/806

= 2067 + 5115/806

= 7182/806

= 3591/403

Result: 3591/403

In order to get the Mixed Number,we need to divide 3591 ÷ 403 to get the Quotient and Remainder

3591 divided by 403 using long division

The given Divisor = 403 and Dividend = 3591

8
4033591
3224
367

The Quotient is 8 and the Remainder is 367

We get the Quotient = 8 and Remainder = 367

∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator

Result: 8 367/403