Converting Mixed Number 5 9/90 to Decimal
To know What is 5 9/90 in Decimal easily make use of the handy Mixed Numbers to Decimals Calculator and get instant results.
Ex: 2(5/10) (or) 4(6/22) (or) 5(7/15)
Detailed Solution to Convert Mixed Number 5 9/90 to Decimal
Solution by Separating the Parts
59/90 = 5 + 9/90
We know that
9/90
is the same as
9 ÷ 90
Therefore:
59/90 = 5 + (9 ÷ 90)
Divide the numerator 9 by the denominator 90
The given Divisor = 90 and Dividend = 9
| 0. | 1 | 0 | 0 | 0 | ||
| 9 | 0 | 9. | 0 | 0 | 0 | 0 |
| 0 | ||||||
| 9 | 0 | |||||
| 9 | 0 | |||||
| 0 | ||||||
| 0 | ||||||
| 0 | ||||||
| 0 | ||||||
| 0 | ||||||
| 0 | ||||||
| 0 |
Quotient = 0.1000
= 5 + 0.1 = 5.1
Solution by Converting to Improper Fraction
Given Mixed Number is 5 9/90
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 5 and the fractional part is 9/90.
On adding them, they can be written as:
5/1 + 9/90
The L.C.M of the denominators 1 and 90 is 90.
The numerator of the first fraction 5 is multiplied with the denominator of the second fraction 90.
5 x 90 + 9/90
450 + 9/90
After multiplying, the numerators 450 and 9 should be added.
459/90
The fraction value we get is 459/90.
On simplifying the fraction,we get:
51/10
After converting the Mixed Number 5 9/90 to the Improper Fraction,the result is 51/10.
= 51/10
We know that
51/10
is the same as
51 ÷ 10
Divide the numerator 51 by the denominator 10
The given Divisor = 90 and Dividend = 9
| 0. | 1 | 0 | 0 | 0 | ||
| 9 | 0 | 9. | 0 | 0 | 0 | 0 |
| 0 | ||||||
| 9 | 0 | |||||
| 9 | 0 | |||||
| 0 | ||||||
| 0 | ||||||
| 0 | ||||||
| 0 | ||||||
| 0 | ||||||
| 0 | ||||||
| 0 |
Quotient = 0.1000
and rounding to a Max of 3 Decimal Places gives us
= 5.1