Finding the Sum of Mixed Numbers 101/7 and 581/6
Determine the Sum of Mixed Numbers 101/7 and 581/6 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Sum of Mixed Numbers 101/7 and 581/6
The given mixed numbers are 101/7 and 581/6
Converting 101/7 mix number to fraction
Given Mixed Number is 10 1/7
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 10 and the fractional part is 1/7.
On adding them, they can be written as:
10/1 + 1/7
The L.C.M of the denominators 1 and 7 is 7.
The numerator of the first fraction 10 is multiplied with the denominator of the second fraction 7.
10 x 7 + 1/7
70 + 1/7
After multiplying, the numerators 70 and 1 should be added.
71/7
The fraction value we get is 71/7.
After converting the Mixed Number 10 1/7 to the Improper Fraction,the result is 71/7.
Converting 581/6 mix number to fraction
Given Mixed Number is 58 1/6
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 58 and the fractional part is 1/6.
On adding them, they can be written as:
58/1 + 1/6
The L.C.M of the denominators 1 and 6 is 6.
The numerator of the first fraction 58 is multiplied with the denominator of the second fraction 6.
58 x 6 + 1/6
348 + 1/6
After multiplying, the numerators 348 and 1 should be added.
349/6
The fraction value we get is 349/6.
After converting the Mixed Number 58 1/6 to the Improper Fraction,the result is 349/6.
Adding fractions 71/7 and 349/6
The given fractions are 71/7 and 349/6
Firstly the L.C.M should be done for the denominators of the two fractions 71/7 and 349/6
71/7+349/6
The LCM of 7 and 6 (denominators of the fractions) is 42
Given numbers has no common factors except 1. So, there LCM is their product i.e 42
= 71 x 6 + 349 x 7/42
= 426 + 2443/42
= 2869/42
Result: 2869/42
In order to get the Mixed Number,we need to divide 2869 ÷ 42 to get the Quotient and Remainder
2869 divided by 42 using long division
The given Divisor = 42 and Dividend = 2869
| 6 | 8 | ||||
| 4 | 2 | 2 | 8 | 6 | 9 |
| 2 | 5 | 2 | |||
| 3 | 4 | 9 | |||
| 3 | 3 | 6 | |||
| 1 | 3 |
The Quotient is 68 and the Remainder is 13
We get the Quotient = 68 and Remainder = 13
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 68 13/42