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
9949087
8946
141

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