Finding the Sum of Mixed Numbers 42/9 and 73/9
Determine the Sum of Mixed Numbers 42/9 and 73/9 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Sum of Mixed Numbers 42/9 and 73/9
The given mixed numbers are 42/9 and 73/9
Converting 42/9 mix number to fraction
Given Mixed Number is 4 2/9
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 4 and the fractional part is 2/9.
On adding them, they can be written as:
4/1 + 2/9
The L.C.M of the denominators 1 and 9 is 9.
The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 9.
4 x 9 + 2/9
36 + 2/9
After multiplying, the numerators 36 and 2 should be added.
38/9
The fraction value we get is 38/9.
After converting the Mixed Number 4 2/9 to the Improper Fraction,the result is 38/9.
Converting 73/9 mix number to fraction
Given Mixed Number is 7 3/9
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 7 and the fractional part is 3/9.
On adding them, they can be written as:
7/1 + 3/9
The L.C.M of the denominators 1 and 9 is 9.
The numerator of the first fraction 7 is multiplied with the denominator of the second fraction 9.
7 x 9 + 3/9
63 + 3/9
After multiplying, the numerators 63 and 3 should be added.
66/9
The fraction value we get is 66/9.
On simplifying the fraction,we get:
22/3
After converting the Mixed Number 7 3/9 to the Improper Fraction,the result is 22/3.
Adding fractions 38/9 and 22/3
The given fractions are 38/9 and 22/3
Firstly the L.C.M should be done for the denominators of the two fractions 38/9 and 22/3
38/9+22/3
The LCM of 9 and 3 (denominators of the fractions) is 9
3 | 9, 3 |
3, 1 |
So the lcm of the given numbers is 3 x 3 x 1 = 9
= 38 x 1 + 22 x 3/9
= 38 + 66/9
= 104/9
Result: 104/9
In order to get the Mixed Number,we need to divide 104 ÷ 9 to get the Quotient and Remainder
104 divided by 9 using long division
The given Divisor = 9 and Dividend = 104
1 | 1 | ||
9 | 1 | 0 | 4 |
9 | |||
1 | 4 | ||
0 | 9 | ||
5 |
The Quotient is 11 and the Remainder is 5
We get the Quotient = 11 and Remainder = 5
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 11 5/9