Finding the Sum of Mixed Numbers 203/5 and 503/9
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
7 | 0 | ||||
1 | 5 | 1 | 0 | 6 | 4 |
1 | 0 | 5 | |||
1 | 4 | ||||
0 | 0 | ||||
1 | 4 |
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