Word problem: What fraction of an hour should the piano still be practiced? | Khan Academy

TL;DR

Pedro needs to practice piano for 3/4 of an hour, but he has only practiced for 1/4 of an hour. The fraction he still needs to practice is 1/2.

Transcript

Pedro is supposed to practice piano for 3/4 of an hour every day. Today, he has practiced for 1/4 of an hour. What fraction of an hour does he need to practice? So let's visualize 3/4. So he needs to practice 3/4 of an hour. So if this represents an entire hour, so let's divide it into fourths. So now, divide it into halves. Now, let's make it into... Read More

Key Insights

• ⌛ Pedro needs to practice the piano for 3/4 of an hour.
• ⌛ He has already practiced for 1/4 of an hour.
• ⌛ Therefore, he still needs to practice for 1/2 an hour.
• 🆘 The visual representation helps understand the fractions better.
• ⌛ 2/4 is the same as 1/2, which means Pedro needs to practice for half an hour.
• 🧑‍🏭 Simplifying fractions by dividing the numerator and denominator by their greatest common factor is useful.
• 🎹 The concept of fractions and their representation can be learned visually through examples like Pedro's piano practice.

Questions & Answers

Q: How much time does Pedro need to practice the piano?

Pedro needs to practice for 1/2 an hour, as he has already practiced for 1/4, leaving him with 2/4 or 1/2 remaining.

Q: Can you explain the visual representation of the fractions?

Sure! The whole hour is divided into quarters, and Pedro needs to practice for 3 out of those 4 quarters. He has already practiced for one quarter, leaving him with 2 quarters or 1/2 to practice.

Q: Why is 2/4 the same as 1/2?

2/4 is equivalent to 1/2 because you can divide both the numerator and denominator by 2. When you simplify, 2 divided by 2 is 1, and 4 divided by 2 is 2.

Q: How can we determine the fraction of an hour Pedro needs to practice?

To find the fraction of an hour Pedro needs to practice, we subtract the fraction he has already practiced (1/4) from the total fraction he needs to practice (3/4), resulting in 2/4 or 1/2.

Summary & Key Takeaways

• Pedro needs to practice the piano for 3/4 of an hour.

• He has already practiced for 1/4 of an hour.

• Pedro still needs to practice for 1/2 an hour.