Finding the Sum of Mixed Numbers 12/8 and 21/8
Determine the Sum of Mixed Numbers 12/8 and 21/8 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Sum of Mixed Numbers 12/8 and 21/8
The given mixed numbers are 12/8 and 21/8
Converting 12/8 mix number to fraction
Given Mixed Number is 1 2/8
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 1 and the fractional part is 2/8.
On adding them, they can be written as:
1/1 + 2/8
The L.C.M of the denominators 1 and 8 is 8.
The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 8.
1 x 8 + 2/8
8 + 2/8
After multiplying, the numerators 8 and 2 should be added.
10/8
The fraction value we get is 10/8.
On simplifying the fraction,we get:
5/4
After converting the Mixed Number 1 2/8 to the Improper Fraction,the result is 5/4.
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.
Adding fractions 5/4 and 17/8
The given fractions are 5/4 and 17/8
Firstly the L.C.M should be done for the denominators of the two fractions 5/4 and 17/8
5/4+17/8
The LCM of 4 and 8 (denominators of the fractions) is 8
2 | 4, 8 |
2 | 2, 4 |
1, 2 |
So the lcm of the given numbers is 2 x 2 x 1 x 2 = 8
= 5 x 2 + 17 x 1/8
= 10 + 17/8
= 27/8
Result: 27/8
In order to get the Mixed Number,we need to divide 27 ÷ 8 to get the Quotient and Remainder
27 divided by 8 using long division
The given Divisor = 8 and Dividend = 27
3 | ||
8 | 2 | 7 |
2 | 4 | |
3 |
The Quotient is 3 and the Remainder is 3
We get the Quotient = 3 and Remainder = 3
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 3 3/8