Problem
Rewrite the ratio so that the units in the numerator and the denominator are the same. Use values in terms of the smaller measurement unit. Then write the ratio in fraction notation, expressing the fraction in simplest form. \[ \frac{69 \text { hours }}{3 \text { days }} \] Write the ratio with the smaller measurement unit. \[ \frac{69 \text { hours }}{3 \text { days }}=\frac{69 \text { hours }}{72 \text { hours }} \] (Do not simplify.) The fraction in simplest form is (Type an integer or a simplified taction.)
Solution
Step 1 ：Given the ratio \(\frac{69 \text { hours }}{3 \text { days }}\)
Step 2 ：Convert the days into hours. We know that 1 day is equal to 24 hours. So, 3 days would be 3*24 = 72 hours.
Step 3 ：Rewrite the ratio with the smaller measurement unit, which gives us \(\frac{69 \text { hours }}{72 \text { hours }}\)
Step 4 ：Simplify the fraction to its simplest form, which gives us \(\frac{23}{24}\)
Step 5 ：Final Answer: The fraction in simplest form is \(\boxed{\frac{23}{24}}\)
