Finding the Sum of Mixed Numbers 235/62 and 627/78
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 | ||||||
4 | 0 | 3 | 3 | 5 | 9 | 1 |
3 | 2 | 2 | 4 | |||
3 | 6 | 7 |
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