Determine the Sum of Mixed Numbers 203/5 and 503/9 easily using the Mixed Numbers Calculator and get the step by step process involved.






Elaborate Solution to find Sum of Mixed Numbers 203/5 and 503/9

The given mixed numbers are 203/5 and 503/9

Converting 203/5 mix number to fraction

Given Mixed Number is 20 3/5

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

The Whole Number is 20 and the fractional part is 3/5.

On adding them, they can be written as:

20/1 + 3/5

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

The numerator of the first fraction 20 is multiplied with the denominator of the second fraction 5.

20 x 5 + 3/5

100 + 3/5

After multiplying, the numerators 100 and 3 should be added.

103/5

The fraction value we get is 103/5.

After converting the Mixed Number 20 3/5 to the Improper Fraction,the result is 103/5.

Converting 503/9 mix number to fraction

Given Mixed Number is 50 3/9

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

The Whole Number is 50 and the fractional part is 3/9.

On adding them, they can be written as:

50/1 + 3/9

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

The numerator of the first fraction 50 is multiplied with the denominator of the second fraction 9.

50 x 9 + 3/9

450 + 3/9

After multiplying, the numerators 450 and 3 should be added.

453/9

The fraction value we get is 453/9.

On simplifying the fraction,we get:

151/3

After converting the Mixed Number 50 3/9 to the Improper Fraction,the result is 151/3.

Adding fractions 103/5 and 151/3

The given fractions are 103/5 and 151/3

Firstly the L.C.M should be done for the denominators of the two fractions 103/5 and 151/3

103/5+151/3

The LCM of 5 and 3 (denominators of the fractions) is 15

Given numbers has no common factors except 1. So, there LCM is their product i.e 15


= 103 x 3 + 151 x 5/15

= 309 + 755/15

= 1064/15

Result: 1064/15

In order to get the Mixed Number,we need to divide 1064 ÷ 15 to get the Quotient and Remainder

1064 divided by 15 using long division

The given Divisor = 15 and Dividend = 1064

70
151064
105
14
00
14

The Quotient is 70 and the Remainder is 14

We get the Quotient = 70 and Remainder = 14

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

Result: 70 14/15