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Zorluk: KolayFractions, Decimals, Percentages, and Approximations

A vessel initially contains 80 litres80\text{ litres} of water. After standing in the sun, 12 litres12\text{ litres} of water evaporates. What percentage of the original volume of water evaporated?

Cevap: 15 %

Cevap

The percentage of the original volume of water that evaporated is 15%15\%.
To find the percentage of evaporated water, divide the evaporated amount (12 litres12\text{ litres}) by the original total volume (80 litres80\text{ litres}) and multiply by 100%100\%. This yields 1280×100%=15%\frac{12}{80} \times 100\% = 15\%.

Adım Adım Çözüm

1
Determine the fractional portion of the evaporated water relative to the initial total volume.
The fraction is 1280=320\frac{12}{80} = \frac{3}{20}.
Percentage loss must be evaluated relative to the original starting amount.
2
Convert the resulting fraction into a percentage.
320×100%=15%.\frac{3}{20} \times 100\% = 15\%.
Multiplying a dimensionless ratio by 100 yields its percentage equivalent.

Anahtar Kavram

Calculating percentage change or loss relative to an initial amount
Tahmini Süre:45s
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