Finding the Sum of Mixed Numbers 84/64 and 59/64
Determine the Sum of Mixed Numbers 84/64 and 59/64 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Sum of Mixed Numbers 84/64 and 59/64
The given mixed numbers are 84/64 and 59/64
Converting 84/64 mix number to fraction
Given Mixed Number is 8 4/64
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 8 and the fractional part is 4/64.
On adding them, they can be written as:
8/1 + 4/64
The L.C.M of the denominators 1 and 64 is 64.
The numerator of the first fraction 8 is multiplied with the denominator of the second fraction 64.
8 x 64 + 4/64
512 + 4/64
After multiplying, the numerators 512 and 4 should be added.
516/64
The fraction value we get is 516/64.
On simplifying the fraction,we get:
129/16
After converting the Mixed Number 8 4/64 to the Improper Fraction,the result is 129/16.
Converting 59/64 mix number to fraction
Given Mixed Number is 5 9/64
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 5 and the fractional part is 9/64.
On adding them, they can be written as:
5/1 + 9/64
The L.C.M of the denominators 1 and 64 is 64.
The numerator of the first fraction 5 is multiplied with the denominator of the second fraction 64.
5 x 64 + 9/64
320 + 9/64
After multiplying, the numerators 320 and 9 should be added.
329/64
The fraction value we get is 329/64.
After converting the Mixed Number 5 9/64 to the Improper Fraction,the result is 329/64.
Adding fractions 129/16 and 329/64
The given fractions are 129/16 and 329/64
Firstly the L.C.M should be done for the denominators of the two fractions 129/16 and 329/64
129/16+329/64
The LCM of 16 and 64 (denominators of the fractions) is 64
| 2 | 16, 64 |
| 2 | 8, 32 |
| 2 | 4, 16 |
| 2 | 2, 8 |
| 1, 4 |
So the lcm of the given numbers is 2 x 2 x 2 x 2 x 1 x 4 = 64
= 129 x 4 + 329 x 1/64
= 516 + 329/64
= 845/64
Result: 845/64
In order to get the Mixed Number,we need to divide 845 ÷ 64 to get the Quotient and Remainder
845 divided by 64 using long division
The given Divisor = 64 and Dividend = 845
| 1 | 3 | |||
| 6 | 4 | 8 | 4 | 5 |
| 6 | 4 | |||
| 2 | 0 | 5 | ||
| 1 | 9 | 2 | ||
| 1 | 3 |
The Quotient is 13 and the Remainder is 13
We get the Quotient = 13 and Remainder = 13
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 13 13/64