Finding the Sum of Mixed Numbers 44/9 and 53/9
Determine the Sum of Mixed Numbers 44/9 and 53/9 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Sum of Mixed Numbers 44/9 and 53/9
The given mixed numbers are 44/9 and 53/9
Converting 44/9 mix number to fraction
Given Mixed Number is 4 4/9
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 4 and the fractional part is 4/9.
On adding them, they can be written as:
4/1 + 4/9
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 + 4/9
36 + 4/9
After multiplying, the numerators 36 and 4 should be added.
40/9
The fraction value we get is 40/9.
After converting the Mixed Number 4 4/9 to the Improper Fraction,the result is 40/9.
Converting 53/9 mix number to fraction
Given Mixed Number is 5 3/9
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 5 and the fractional part is 3/9.
On adding them, they can be written as:
5/1 + 3/9
The L.C.M of the denominators 1 and 9 is 9.
The numerator of the first fraction 5 is multiplied with the denominator of the second fraction 9.
5 x 9 + 3/9
45 + 3/9
After multiplying, the numerators 45 and 3 should be added.
48/9
The fraction value we get is 48/9.
On simplifying the fraction,we get:
16/3
After converting the Mixed Number 5 3/9 to the Improper Fraction,the result is 16/3.
Adding fractions 40/9 and 16/3
The given fractions are 40/9 and 16/3
Firstly the L.C.M should be done for the denominators of the two fractions 40/9 and 16/3
40/9+16/3
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
= 40 x 1 + 16 x 3/9
= 40 + 48/9
= 88/9
Result: 88/9
In order to get the Mixed Number,we need to divide 88 ÷ 9 to get the Quotient and Remainder
88 divided by 9 using long division
The given Divisor = 9 and Dividend = 88
| 9 | ||
| 9 | 8 | 8 |
| 8 | 1 | |
| 7 |
The Quotient is 9 and the Remainder is 7
We get the Quotient = 9 and Remainder = 7
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 9 7/9