Finding the Sum of Mixed Numbers 21/8 and 82/8
Determine the Sum of Mixed Numbers 21/8 and 82/8 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Sum of Mixed Numbers 21/8 and 82/8
The given mixed numbers are 21/8 and 82/8
Converting 21/8 mix number to fraction
Given Mixed Number is 2 1/8
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 2 and the fractional part is 1/8.
On adding them, they can be written as:
2/1 + 1/8
The L.C.M of the denominators 1 and 8 is 8.
The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 8.
2 x 8 + 1/8
16 + 1/8
After multiplying, the numerators 16 and 1 should be added.
17/8
The fraction value we get is 17/8.
After converting the Mixed Number 2 1/8 to the Improper Fraction,the result is 17/8.
Converting 82/8 mix number to fraction
Given Mixed Number is 8 2/8
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 8 and the fractional part is 2/8.
On adding them, they can be written as:
8/1 + 2/8
The L.C.M of the denominators 1 and 8 is 8.
The numerator of the first fraction 8 is multiplied with the denominator of the second fraction 8.
8 x 8 + 2/8
64 + 2/8
After multiplying, the numerators 64 and 2 should be added.
66/8
The fraction value we get is 66/8.
On simplifying the fraction,we get:
33/4
After converting the Mixed Number 8 2/8 to the Improper Fraction,the result is 33/4.
Adding fractions 17/8 and 33/4
The given fractions are 17/8 and 33/4
Firstly the L.C.M should be done for the denominators of the two fractions 17/8 and 33/4
17/8+33/4
The LCM of 8 and 4 (denominators of the fractions) is 8
| 2 | 8, 4 |
| 2 | 4, 2 |
| 1, 2 |
So the lcm of the given numbers is 2 x 2 x 1 x 2 = 8
= 17 x 1 + 33 x 2/8
= 17 + 66/8
= 83/8
Result: 83/8
In order to get the Mixed Number,we need to divide 83 ÷ 8 to get the Quotient and Remainder
83 divided by 8 using long division
The given Divisor = 8 and Dividend = 83
| 1 | 0 | |
| 8 | 8 | 3 |
| 8 | ||
| 0 | 3 | |
| 0 | 0 | |
| 3 |
The Quotient is 10 and the Remainder is 3
We get the Quotient = 10 and Remainder = 3
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 10 3/8