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Question about Percentage: Conversion with Fractions and Decimals

Mathematics

Originais Teachy

Percentage: Conversion with Fractions and Decimals

Easy

(Originais Teachy 2024) - Question Easy of Mathematics

One of the biggest challenges of environmental sustainability is raising awareness about the rational use of water. According to a survey conducted in a community, the daily water consumption per person decreased from 120 liters to 96 liters after an educational campaign. Considering the initial consumption as 100% reference, what was the percentage reduction in daily water consumption per person in this community? And if this consumption were expressed as a fraction, what would be the fraction corresponding to the percentage reduction? Additionally, knowing that the percentage reduction can be represented by a decimal number, what would be the exact decimal value that expresses this reduction?
a.
The percentage reduction in daily water consumption per person in this community was 20%. The fraction corresponding to the percentage reduction is 1/5. The exact decimal value that expresses the percentage reduction is 0.2.
b.
The percentage reduction in daily water consumption per person in this community was 25%. The fraction corresponding to the percentage reduction is 1/4. The exact decimal value that expresses the percentage reduction is 0.25.
c.
The percentage reduction in daily water consumption per person in this community was 15%. The fraction corresponding to the percentage reduction is 3/20. The exact decimal value that expresses the percentage reduction is 0.15.
d.
The percentage reduction in daily water consumption per person in this community was 30%. The fraction corresponding to the percentage reduction is 3/10. The exact decimal value that expresses the percentage reduction is 0.30.
e.
The percentage reduction in daily water consumption per person in this community was 10%. The fraction corresponding to the percentage reduction is 1/10. The exact decimal value that expresses the percentage reduction is 0.10.

Answer sheet:

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