Finding the Sum of Mixed Numbers 13/4 and 27/8
Determine the Sum of Mixed Numbers 13/4 and 27/8 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Sum of Mixed Numbers 13/4 and 27/8
The given mixed numbers are 13/4 and 27/8
Converting 13/4 mix number to fraction
Given Mixed Number is 1 3/4
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 1 and the fractional part is 3/4.
On adding them, they can be written as:
1/1 + 3/4
The L.C.M of the denominators 1 and 4 is 4.
The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 4.
1 x 4 + 3/4
4 + 3/4
After multiplying, the numerators 4 and 3 should be added.
7/4
The fraction value we get is 7/4.
After converting the Mixed Number 1 3/4 to the Improper Fraction,the result is 7/4.
Converting 27/8 mix number to fraction
Given Mixed Number is 2 7/8
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 2 and the fractional part is 7/8.
On adding them, they can be written as:
2/1 + 7/8
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 + 7/8
16 + 7/8
After multiplying, the numerators 16 and 7 should be added.
23/8
The fraction value we get is 23/8.
After converting the Mixed Number 2 7/8 to the Improper Fraction,the result is 23/8.
Adding fractions 7/4 and 23/8
The given fractions are 7/4 and 23/8
Firstly the L.C.M should be done for the denominators of the two fractions 7/4 and 23/8
7/4+23/8
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
= 7 x 2 + 23 x 1/8
= 14 + 23/8
= 37/8
Result: 37/8
In order to get the Mixed Number,we need to divide 37 ÷ 8 to get the Quotient and Remainder
37 divided by 8 using long division
The given Divisor = 8 and Dividend = 37
4 | ||
8 | 3 | 7 |
3 | 2 | |
5 |
The Quotient is 4 and the Remainder is 5
We get the Quotient = 4 and Remainder = 5
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 4 5/8