Finding the Sum of Mixed Numbers 76/49 and 36/82
Determine the Sum of Mixed Numbers 76/49 and 36/82 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Sum of Mixed Numbers 76/49 and 36/82
The given mixed numbers are 76/49 and 36/82
Converting 76/49 mix number to fraction
Given Mixed Number is 7 6/49
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 7 and the fractional part is 6/49.
On adding them, they can be written as:
7/1 + 6/49
The L.C.M of the denominators 1 and 49 is 49.
The numerator of the first fraction 7 is multiplied with the denominator of the second fraction 49.
7 x 49 + 6/49
343 + 6/49
After multiplying, the numerators 343 and 6 should be added.
349/49
The fraction value we get is 349/49.
After converting the Mixed Number 7 6/49 to the Improper Fraction,the result is 349/49.
Converting 36/82 mix number to fraction
Given Mixed Number is 3 6/82
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 3 and the fractional part is 6/82.
On adding them, they can be written as:
3/1 + 6/82
The L.C.M of the denominators 1 and 82 is 82.
The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 82.
3 x 82 + 6/82
246 + 6/82
After multiplying, the numerators 246 and 6 should be added.
252/82
The fraction value we get is 252/82.
On simplifying the fraction,we get:
126/41
After converting the Mixed Number 3 6/82 to the Improper Fraction,the result is 126/41.
Adding fractions 349/49 and 126/41
The given fractions are 349/49 and 126/41
Firstly the L.C.M should be done for the denominators of the two fractions 349/49 and 126/41
349/49+126/41
The LCM of 49 and 41 (denominators of the fractions) is 2009
Given numbers has no common factors except 1. So, there LCM is their product i.e 2009
= 349 x 41 + 126 x 49/2009
= 14309 + 6174/2009
= 20483/2009
Result: 20483/2009
In order to get the Mixed Number,we need to divide 20483 ÷ 2009 to get the Quotient and Remainder
20483 divided by 2009 using long division
The given Divisor = 2009 and Dividend = 20483
| 1 | 0 | |||||||
| 2 | 0 | 0 | 9 | 2 | 0 | 4 | 8 | 3 |
| 2 | 0 | 0 | 9 | |||||
| 3 | 9 | 3 | ||||||
| 0 | 0 | 0 | ||||||
| 3 | 9 | 3 |
The Quotient is 10 and the Remainder is 393
We get the Quotient = 10 and Remainder = 393
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 10 393/2009