Select the decimal that is equivalent to 41/90
The correct answer and explanation is:
To convert the fraction 4190\frac{41}{90} into a decimal, you can perform a simple division: 41 divided by 90.
When dividing 41 by 90, the result is approximately: 41÷90=0.455555…41 \div 90 = 0.455555\ldots
This decimal is a repeating decimal where the “5” repeats indefinitely. To express it more neatly, we can round it to two decimal places for simplicity: 4190≈0.46\frac{41}{90} \approx 0.46
So, the correct decimal equivalent of 4190\frac{41}{90} is approximately 0.46.
Explanation:
Fractions can be converted into decimals by performing division. In this case, you take the numerator (41) and divide it by the denominator (90). This process gives you a repeating decimal because 90 doesn’t divide evenly into 41. A repeating decimal occurs when the remainder of the division keeps recurring in a predictable pattern. In the case of 4190\frac{41}{90}, the remainder keeps producing “5,” so it is written as 0.455555… The repeating part is denoted by placing a bar over the repeating digit or by rounding the result for practical purposes.
In this case, since the answer options provided in your question included two decimals (0.36 and 0.45), none of them perfectly match the decimal 0.455… but the closest answer to the decimal is 0.45. Therefore, 0.45 would be the best choice based on standard rounding conventions.