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Zorluk: KolayConverting Between Fractions, Decimals, and Percents

A military maintenance crew is draining a water purification tank for routine cleaning. They manage to drain 2125\frac{21}{25} of the water before the primary pump requires a filter change. What percentage of the water was drained?

Cevap: 84 %

Cevap

84
To convert 2125\frac{21}{25} to a percentage, multiply both the numerator and the denominator by 4 to reach a denominator of 100. This results in 84100\frac{84}{100}, which is exactly 84%.

Adım Adım Çözüm

1
Set up the conversion from fraction to percentage.
2125\frac{21}{25}
This is the proportion of the tank that was drained and needs to be converted.
2
Find an equivalent fraction with a denominator of 100.
21×425×4=84100\frac{21 \times 4}{25 \times 4} = \frac{84}{100}
Percentages are calculated out of 100. Since 25 is a factor of 100, multiplying by 4 scales the fraction appropriately.
3
Convert the resulting fraction directly to a percentage.
84
A fraction with a denominator of 100 indicates the percentage directly.

Anahtar Kavram

Converting a fraction with a easily scalable denominator to a percentage.
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Konular

Converting Between Fractions, Decimals, and Percents

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