Finding the Sum of Mixed Numbers 73/4 and 61/2
Determine the Sum of Mixed Numbers 73/4 and 61/2 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Sum of Mixed Numbers 73/4 and 61/2
The given mixed numbers are 73/4 and 61/2
Converting 73/4 mix number to fraction
Given Mixed Number is 7 3/4
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 7 and the fractional part is 3/4.
On adding them, they can be written as:
7/1 + 3/4
The L.C.M of the denominators 1 and 4 is 4.
The numerator of the first fraction 7 is multiplied with the denominator of the second fraction 4.
7 x 4 + 3/4
28 + 3/4
After multiplying, the numerators 28 and 3 should be added.
31/4
The fraction value we get is 31/4.
After converting the Mixed Number 7 3/4 to the Improper Fraction,the result is 31/4.
Converting 61/2 mix number to fraction
Given Mixed Number is 6 1/2
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 6 and the fractional part is 1/2.
On adding them, they can be written as:
6/1 + 1/2
The L.C.M of the denominators 1 and 2 is 2.
The numerator of the first fraction 6 is multiplied with the denominator of the second fraction 2.
6 x 2 + 1/2
12 + 1/2
After multiplying, the numerators 12 and 1 should be added.
13/2
The fraction value we get is 13/2.
After converting the Mixed Number 6 1/2 to the Improper Fraction,the result is 13/2.
Adding fractions 31/4 and 13/2
The given fractions are 31/4 and 13/2
Firstly the L.C.M should be done for the denominators of the two fractions 31/4 and 13/2
31/4+13/2
The LCM of 4 and 2 (denominators of the fractions) is 4
2 | 4, 2 |
2, 1 |
So the lcm of the given numbers is 2 x 2 x 1 = 4
= 31 x 1 + 13 x 2/4
= 31 + 26/4
= 57/4
Result: 57/4
In order to get the Mixed Number,we need to divide 57 ÷ 4 to get the Quotient and Remainder
57 divided by 4 using long division
The given Divisor = 4 and Dividend = 57
1 | 4 | |
4 | 5 | 7 |
4 | ||
1 | 7 | |
1 | 6 | |
1 |
The Quotient is 14 and the Remainder is 1
We get the Quotient = 14 and Remainder = 1
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 14 1/4