Finding the Sum of Mixed Numbers 771/9 and 781/8
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
1 | 5 | 5 | ||||
7 | 2 | 1 | 1 | 1 | 7 | 7 |
7 | 2 | |||||
3 | 9 | 7 | ||||
3 | 6 | 0 | ||||
3 | 7 | 7 | ||||
3 | 6 | 0 | ||||
1 | 7 |
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