Determine the Sum of Mixed Numbers 472/5 and 522/9 easily using the Mixed Numbers Calculator and get the step by step process involved.






Elaborate Solution to find Sum of Mixed Numbers 472/5 and 522/9

The given mixed numbers are 472/5 and 522/9

Converting 472/5 mix number to fraction

Given Mixed Number is 47 2/5

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

The Whole Number is 47 and the fractional part is 2/5.

On adding them, they can be written as:

47/1 + 2/5

The L.C.M of the denominators 1 and 5 is 5.

The numerator of the first fraction 47 is multiplied with the denominator of the second fraction 5.

47 x 5 + 2/5

235 + 2/5

After multiplying, the numerators 235 and 2 should be added.

237/5

The fraction value we get is 237/5.

After converting the Mixed Number 47 2/5 to the Improper Fraction,the result is 237/5.

Converting 522/9 mix number to fraction

Given Mixed Number is 52 2/9

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

The Whole Number is 52 and the fractional part is 2/9.

On adding them, they can be written as:

52/1 + 2/9

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

The numerator of the first fraction 52 is multiplied with the denominator of the second fraction 9.

52 x 9 + 2/9

468 + 2/9

After multiplying, the numerators 468 and 2 should be added.

470/9

The fraction value we get is 470/9.

After converting the Mixed Number 52 2/9 to the Improper Fraction,the result is 470/9.

Adding fractions 237/5 and 470/9

The given fractions are 237/5 and 470/9

Firstly the L.C.M should be done for the denominators of the two fractions 237/5 and 470/9

237/5+470/9

The LCM of 5 and 9 (denominators of the fractions) is 45

Given numbers has no common factors except 1. So, there LCM is their product i.e 45


= 237 x 9 + 470 x 5/45

= 2133 + 2350/45

= 4483/45

Result: 4483/45

In order to get the Mixed Number,we need to divide 4483 ÷ 45 to get the Quotient and Remainder

4483 divided by 45 using long division

The given Divisor = 45 and Dividend = 4483

99
454483
405
433
405
28

The Quotient is 99 and the Remainder is 28

We get the Quotient = 99 and Remainder = 28

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

Result: 99 28/45