Finding the Sum of Mixed Numbers 95/8 and 74/8
Determine the Sum of Mixed Numbers 95/8 and 74/8 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Sum of Mixed Numbers 95/8 and 74/8
The given mixed numbers are 95/8 and 74/8
Converting 95/8 mix number to fraction
Given Mixed Number is 9 5/8
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 9 and the fractional part is 5/8.
On adding them, they can be written as:
9/1 + 5/8
The L.C.M of the denominators 1 and 8 is 8.
The numerator of the first fraction 9 is multiplied with the denominator of the second fraction 8.
9 x 8 + 5/8
72 + 5/8
After multiplying, the numerators 72 and 5 should be added.
77/8
The fraction value we get is 77/8.
After converting the Mixed Number 9 5/8 to the Improper Fraction,the result is 77/8.
Converting 74/8 mix number to fraction
Given Mixed Number is 7 4/8
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 7 and the fractional part is 4/8.
On adding them, they can be written as:
7/1 + 4/8
The L.C.M of the denominators 1 and 8 is 8.
The numerator of the first fraction 7 is multiplied with the denominator of the second fraction 8.
7 x 8 + 4/8
56 + 4/8
After multiplying, the numerators 56 and 4 should be added.
60/8
The fraction value we get is 60/8.
On simplifying the fraction,we get:
15/2
After converting the Mixed Number 7 4/8 to the Improper Fraction,the result is 15/2.
Adding fractions 77/8 and 15/2
The given fractions are 77/8 and 15/2
Firstly the L.C.M should be done for the denominators of the two fractions 77/8 and 15/2
77/8+15/2
The LCM of 8 and 2 (denominators of the fractions) is 8
| 2 | 8, 2 |
| 4, 1 |
So the lcm of the given numbers is 2 x 4 x 1 = 8
= 77 x 1 + 15 x 4/8
= 77 + 60/8
= 137/8
Result: 137/8
In order to get the Mixed Number,we need to divide 137 ÷ 8 to get the Quotient and Remainder
137 divided by 8 using long division
The given Divisor = 8 and Dividend = 137
| 1 | 7 | ||
| 8 | 1 | 3 | 7 |
| 8 | |||
| 5 | 7 | ||
| 5 | 6 | ||
| 1 |
The Quotient is 17 and the Remainder is 1
We get the Quotient = 17 and Remainder = 1
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 17 1/8