Finding the Sum of Mixed Numbers 19/36 and 28/90
Determine the Sum of Mixed Numbers 19/36 and 28/90 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Sum of Mixed Numbers 19/36 and 28/90
The given mixed numbers are 19/36 and 28/90
Converting 19/36 mix number to fraction
Given Mixed Number is 1 9/36
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 1 and the fractional part is 9/36.
On adding them, they can be written as:
1/1 + 9/36
The L.C.M of the denominators 1 and 36 is 36.
The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 36.
1 x 36 + 9/36
36 + 9/36
After multiplying, the numerators 36 and 9 should be added.
45/36
The fraction value we get is 45/36.
On simplifying the fraction,we get:
5/4
After converting the Mixed Number 1 9/36 to the Improper Fraction,the result is 5/4.
Converting 28/90 mix number to fraction
Given Mixed Number is 2 8/90
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 2 and the fractional part is 8/90.
On adding them, they can be written as:
2/1 + 8/90
The L.C.M of the denominators 1 and 90 is 90.
The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 90.
2 x 90 + 8/90
180 + 8/90
After multiplying, the numerators 180 and 8 should be added.
188/90
The fraction value we get is 188/90.
On simplifying the fraction,we get:
94/45
After converting the Mixed Number 2 8/90 to the Improper Fraction,the result is 94/45.
Adding fractions 5/4 and 94/45
The given fractions are 5/4 and 94/45
Firstly the L.C.M should be done for the denominators of the two fractions 5/4 and 94/45
5/4+94/45
The LCM of 4 and 45 (denominators of the fractions) is 180
Given numbers has no common factors except 1. So, there LCM is their product i.e 180
= 5 x 45 + 94 x 4/180
= 225 + 376/180
= 601/180
Result: 601/180
In order to get the Mixed Number,we need to divide 601 ÷ 180 to get the Quotient and Remainder
601 divided by 180 using long division
The given Divisor = 180 and Dividend = 601
| 3 | |||||
| 1 | 8 | 0 | 6 | 0 | 1 |
| 5 | 4 | 0 | |||
| 6 | 1 |
The Quotient is 3 and the Remainder is 61
We get the Quotient = 3 and Remainder = 61
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 3 61/180