Finding the Sum of Mixed Numbers 472/5 and 522/9
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
9 | 9 | ||||
4 | 5 | 4 | 4 | 8 | 3 |
4 | 0 | 5 | |||
4 | 3 | 3 | |||
4 | 0 | 5 | |||
2 | 8 |
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