Finding the Sum of Mixed Numbers 73/9 and 12/9

The given mixed numbers are 73/9 and 12/9

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.

Converting 12/9 mix number to fraction

Given Mixed Number is 1 2/9

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 1 and the fractional part is 2/9.

On adding them, they can be written as:

1/1 + 2/9

The L.C.M of the denominators 1 and 9 is 9.

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 9.

1 x 9 + 2/9

9 + 2/9

After multiplying, the numerators 9 and 2 should be added.

11/9

The fraction value we get is 11/9.

After converting the Mixed Number 1 2/9 to the Improper Fraction,the result is 11/9.

Adding fractions 22/3 and 11/9

The given fractions are 22/3 and 11/9

Firstly the L.C.M should be done for the denominators of the two fractions 22/3 and 11/9

22/3+11/9

= 22 x 3 + 11 x 1/9

= 66 + 11/9

= 77/9

Result: 77/9

In order to get the Mixed Number,we need to divide 77 ÷ 9 to get the Quotient and Remainder

We get the Quotient = 8 and Remainder = 5

∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator

Result: 8 5/9