Converting Mixed Number 3 30/74 to Decimal
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Detailed Solution to Convert Mixed Number 3 30/74 to Decimal
Solution by Separating the Parts
330/74 = 3 + 30/74
We know that
30/74
is the same as
30 ÷ 74
Therefore:
330/74 = 3 + (30 ÷ 74)
Divide the numerator 30 by the denominator 74
The given Divisor = 74 and Dividend = 30
| 0. | 4 | 0 | 5 | 4 | |||
| 7 | 4 | 3 | 0. | 0 | 0 | 0 | 0 |
| 0 | |||||||
| 3 | 0 | 0 | |||||
| 2 | 9 | 6 | |||||
| 4 | 0 | ||||||
| 0 | 0 | ||||||
| 4 | 0 | 0 | |||||
| 3 | 7 | 0 | |||||
| 3 | 0 | 0 | |||||
| 2 | 9 | 6 | |||||
| 4 |
Quotient = 0.4054
= 3 + 0.405 = 3.405
Solution by Converting to Improper Fraction
Given Mixed Number is 3 30/74
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 3 and the fractional part is 30/74.
On adding them, they can be written as:
3/1 + 30/74
The L.C.M of the denominators 1 and 74 is 74.
The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 74.
3 x 74 + 30/74
222 + 30/74
After multiplying, the numerators 222 and 30 should be added.
252/74
The fraction value we get is 252/74.
On simplifying the fraction,we get:
126/37
After converting the Mixed Number 3 30/74 to the Improper Fraction,the result is 126/37.
= 126/37
We know that
126/37
is the same as
126 ÷ 37
Divide the numerator 126 by the denominator 37
The given Divisor = 74 and Dividend = 30
| 0. | 4 | 0 | 5 | 4 | |||
| 7 | 4 | 3 | 0. | 0 | 0 | 0 | 0 |
| 0 | |||||||
| 3 | 0 | 0 | |||||
| 2 | 9 | 6 | |||||
| 4 | 0 | ||||||
| 0 | 0 | ||||||
| 4 | 0 | 0 | |||||
| 3 | 7 | 0 | |||||
| 3 | 0 | 0 | |||||
| 2 | 9 | 6 | |||||
| 4 |
Quotient = 0.4054
and rounding to a Max of 3 Decimal Places gives us
= 3.405