Question
The ratio of 20 hours to 7 days is equivalent to which of the following?
The correct answer is
5:42
To solve the problem, we need to find the ratio of 20 hours to 7 days and determine which of the given options it corresponds to.
Step 1: Convert days to hours
1 day = 24 hours.
Therefore, 7 days = \(7 \times 24 = 168\) hours.
Step 2: Express the ratio
We are given 20 hours to 7 days; in hours, this ratio becomes:
\(\frac{20}{168}\).
Step 3: Simplify the ratio
To simplify the fraction \(\frac{20}{168}\), we find the greatest common divisor (GCD) of 20 and 168, which is 4.
Simplified ratio: \(\frac{20 \div 4}{168 \div 4} = \frac{5}{42}\).
Hence, the ratio of 20 hours to 7 days is equivalent to 5:42.
Conclusion: The correct answer is 5:42, which matches option:
5:42
.
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