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

11
9104
9
14
09
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