Finding the Sum of Mixed Numbers 35/71 and 67/98
Determine the Sum of Mixed Numbers 35/71 and 67/98 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Sum of Mixed Numbers 35/71 and 67/98
The given mixed numbers are 35/71 and 67/98
Converting 35/71 mix number to fraction
Given Mixed Number is 3 5/71
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 3 and the fractional part is 5/71.
On adding them, they can be written as:
3/1 + 5/71
The L.C.M of the denominators 1 and 71 is 71.
The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 71.
3 x 71 + 5/71
213 + 5/71
After multiplying, the numerators 213 and 5 should be added.
218/71
The fraction value we get is 218/71.
After converting the Mixed Number 3 5/71 to the Improper Fraction,the result is 218/71.
Converting 67/98 mix number to fraction
Given Mixed Number is 6 7/98
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 6 and the fractional part is 7/98.
On adding them, they can be written as:
6/1 + 7/98
The L.C.M of the denominators 1 and 98 is 98.
The numerator of the first fraction 6 is multiplied with the denominator of the second fraction 98.
6 x 98 + 7/98
588 + 7/98
After multiplying, the numerators 588 and 7 should be added.
595/98
The fraction value we get is 595/98.
On simplifying the fraction,we get:
85/14
After converting the Mixed Number 6 7/98 to the Improper Fraction,the result is 85/14.
Adding fractions 218/71 and 85/14
The given fractions are 218/71 and 85/14
Firstly the L.C.M should be done for the denominators of the two fractions 218/71 and 85/14
218/71+85/14
The LCM of 71 and 14 (denominators of the fractions) is 994
Given numbers has no common factors except 1. So, there LCM is their product i.e 994
= 218 x 14 + 85 x 71/994
= 3052 + 6035/994
= 9087/994
Result: 9087/994
In order to get the Mixed Number,we need to divide 9087 ÷ 994 to get the Quotient and Remainder
9087 divided by 994 using long division
The given Divisor = 994 and Dividend = 9087
9 | ||||||
9 | 9 | 4 | 9 | 0 | 8 | 7 |
8 | 9 | 4 | 6 | |||
1 | 4 | 1 |
The Quotient is 9 and the Remainder is 141
We get the Quotient = 9 and Remainder = 141
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 9 141/994