On a scavenger hunt, you find 16 out of 25 objects. Write “16 out of 25” as a fraction, a decimal, and a percent.
Fraction: Decimal: Percent:
The Correct Answer and Explanation is:
To represent “16 out of 25” in different mathematical forms, we can express it as a fraction, a decimal, and a percent. Here’s the breakdown of each representation:
Fraction
The fraction representing 16 out of 25 is written as:
[
\frac{16}{25}
]
Decimal
To convert the fraction (\frac{16}{25}) into a decimal, you divide the numerator (16) by the denominator (25):
[
16 \div 25 = 0.64
]
Thus, as a decimal, it is:
[
0.64
]
Percent
To convert the decimal (0.64) into a percent, you multiply by 100:
[
0.64 \times 100 = 64\%
]
Therefore, 16 out of 25 can be expressed as:
[
64\%
]
Explanation
The process of converting a ratio or a fraction into a decimal and a percentage is straightforward and involves basic arithmetic. The fraction (\frac{16}{25}) represents a part-to-whole relationship where 16 is the part (the number of objects found), and 25 is the total (the total number of objects on the scavenger hunt).
Converting a fraction to a decimal is done through division. In this case, dividing 16 by 25 gives a decimal of 0.64, which indicates that the part (16) is 64% of the total (25).
To further understand this, we can think of the percentage as a way to compare the part to the whole on a scale of 100. In this scenario, saying that 16 out of 25 objects have been found is equivalent to saying that 64 out of 100 objects would have been found if the total were scaled up, hence the conversion to 64%.
Overall, expressing quantities in different forms—fractions, decimals, and percentages—allows for a more comprehensive understanding of the data, making it easier to compare and analyze the results of a scavenger hunt or any other quantitative situation.