Question

dominic repairs washing machines. each repair appointment takes about 1 1/4 hours, including the time to drive to the customer and fix the machine. how many appointments can dominic fit in during a 7 1/2 - hour day? a) 6 appointments b) 6 1/4 appointments c) 9 appointments d) 30 appointments

Explanation:

Step1: Convert mixed number to improper fraction

The total time of the day is \(7\frac{1}{2}\) hours. Convert this to an improper fraction: \(7\frac{1}{2}=\frac{7\times2 + 1}{2}=\frac{15}{2}\) hours.

Step2: Divide total time by time per appointment

Each appointment takes \(1\frac{1}{4}\) hours. Convert this to an improper fraction: \(1\frac{1}{4}=\frac{1\times4+1}{4}=\frac{5}{4}\) hours.
To find the number of appointments, divide the total time by the time per appointment: \(\frac{15}{2}\div\frac{5}{4}\).
When dividing fractions, multiply by the reciprocal: \(\frac{15}{2}\times\frac{4}{5}\).
Simplify: \(\frac{15\times4}{2\times5}=\frac{60}{10} = 6\).

Answer:

A) 6 appointments