Finding the Sum of Mixed Numbers 32/7 and 61/7
Determine the Sum of Mixed Numbers 32/7 and 61/7 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Sum of Mixed Numbers 32/7 and 61/7
The given mixed numbers are 32/7 and 61/7
Converting 32/7 mix number to fraction
Given Mixed Number is 3 2/7
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 3 and the fractional part is 2/7.
On adding them, they can be written as:
3/1 + 2/7
The L.C.M of the denominators 1 and 7 is 7.
The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 7.
3 x 7 + 2/7
21 + 2/7
After multiplying, the numerators 21 and 2 should be added.
23/7
The fraction value we get is 23/7.
After converting the Mixed Number 3 2/7 to the Improper Fraction,the result is 23/7.
Converting 61/7 mix number to fraction
Given Mixed Number is 6 1/7
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 6 and the fractional part is 1/7.
On adding them, they can be written as:
6/1 + 1/7
The L.C.M of the denominators 1 and 7 is 7.
The numerator of the first fraction 6 is multiplied with the denominator of the second fraction 7.
6 x 7 + 1/7
42 + 1/7
After multiplying, the numerators 42 and 1 should be added.
43/7
The fraction value we get is 43/7.
After converting the Mixed Number 6 1/7 to the Improper Fraction,the result is 43/7.
Adding fractions 23/7 and 43/7
The given fractions are 23/7 and 43/7
Firstly the L.C.M should be done for the denominators of the two fractions 23/7 and 43/7
23/7+43/7
If the L.C.M of the denominators of the both fractions 23/7 and 43/7 are same, the numerators are added directly taking the similar integer as the denominator
= 23 + 43/7
= 66/7
Result: 66/7
In order to get the Mixed Number,we need to divide 66 ÷ 7 to get the Quotient and Remainder
66 divided by 7 using long division
The given Divisor = 7 and Dividend = 66
| 9 | ||
| 7 | 6 | 6 |
| 6 | 3 | |
| 3 |
The Quotient is 9 and the Remainder is 3
We get the Quotient = 9 and Remainder = 3
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 9 3/7