Determine the Sum of Mixed Numbers 771/9 and 781/8 easily using the Mixed Numbers Calculator and get the step by step process involved.






Elaborate Solution to find Sum of Mixed Numbers 771/9 and 781/8

The given mixed numbers are 771/9 and 781/8

Converting 771/9 mix number to fraction

Given Mixed Number is 77 1/9

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

The Whole Number is 77 and the fractional part is 1/9.

On adding them, they can be written as:

77/1 + 1/9

The L.C.M of the denominators 1 and 9 is 9.

The numerator of the first fraction 77 is multiplied with the denominator of the second fraction 9.

77 x 9 + 1/9

693 + 1/9

After multiplying, the numerators 693 and 1 should be added.

694/9

The fraction value we get is 694/9.

After converting the Mixed Number 77 1/9 to the Improper Fraction,the result is 694/9.

Converting 781/8 mix number to fraction

Given Mixed Number is 78 1/8

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

The Whole Number is 78 and the fractional part is 1/8.

On adding them, they can be written as:

78/1 + 1/8

The L.C.M of the denominators 1 and 8 is 8.

The numerator of the first fraction 78 is multiplied with the denominator of the second fraction 8.

78 x 8 + 1/8

624 + 1/8

After multiplying, the numerators 624 and 1 should be added.

625/8

The fraction value we get is 625/8.

After converting the Mixed Number 78 1/8 to the Improper Fraction,the result is 625/8.

Adding fractions 694/9 and 625/8

The given fractions are 694/9 and 625/8

Firstly the L.C.M should be done for the denominators of the two fractions 694/9 and 625/8

694/9+625/8

The LCM of 9 and 8 (denominators of the fractions) is 72

Given numbers has no common factors except 1. So, there LCM is their product i.e 72


= 694 x 8 + 625 x 9/72

= 5552 + 5625/72

= 11177/72

Result: 11177/72

In order to get the Mixed Number,we need to divide 11177 ÷ 72 to get the Quotient and Remainder

11177 divided by 72 using long division

The given Divisor = 72 and Dividend = 11177

155
7211177
72
397
360
377
360
17

The Quotient is 155 and the Remainder is 17

We get the Quotient = 155 and Remainder = 17

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

Result: 155 17/72