Khalid spent $1\frac{1}{2}$ hours doing math exercises. He spent $\frac{1}{4}$ of his time practicing divisibility rules. How many minutes did Khalid spend practicing divisibility rules?

Verified Answer :

  • Identify total time: \(1 \text{ hour} = 60 \text{ minutes}\).
  • Identify the fraction of time spent on divisibility rules: \(\frac{1}{4}\).
  • Multiply the total time by the fraction: \(\frac{1}{4} \times 60 \text{ minutes} = 15 \text{ minutes}\).
  • Final answer: \(\boxed{15 \text{ minutes}}\).

Explanation

  1. Analysis and Setup

The problem states that a person spent 1 hour in total doing math exercises. Since 1 hour is equivalent to 60 minutes, we establish the total time spent as \(T = 60\) minutes. The problem specifies that a fraction of \(\frac{1}{4}\) of this total time was dedicated to practicing divisibility rules. To find the time Khalid spent on this specific topic, we need to calculate \(\frac{1}{4}\) of the total time \(T\).

  1. Calculation

To determine the time spent practicing divisibility rules, we multiply the total time by the specified fraction:
\[D = \frac{1}{4} \times 60 \text{ minutes}\]
\[D = \frac{60}{4} \text{ minutes}\]
\[D = 15 \text{ minutes}\]
Therefore, Khalid spent 15 minutes practicing divisibility rules.

Examples

Understanding how to calculate fractions of a total time is essential for managing your daily schedule. For instance, if you have 2 hours to complete your homework and decide to spend 1/3 of that time reading, you can calculate the exact duration (40 minutes) to allocate for that task, ensuring you have enough time left for other assignments. This basic skill helps in planning study sessions or organizing chores efficiently throughout the day.