Equivalent fraction word problem example 4 | Fractions | Pre-Algebra | Khan Academy

TL;DR

Learn how to find 1/3 of the amount 48 using equivalent fractions and intuitive visualization.

Transcript

Sarah has $48. She wants to save 1/3 of her money for a trip. How many dollars should she set aside? So we essentially want to think about what 1/3 of 48 is. Use 48 as the denominator and find an equivalent fraction to 1/3. So what they want us to do in this problem is they want us to say, OK, we want 1/3 of her money, but we want to write this as ... Read More

Key Insights

• 🥳 Understanding fractions involves dividing a whole into equal parts.
• ❓ Equivalent fractions have the same value but may have different numerators and denominators.
• ✖️ Multiplying both numerator and denominator by the same number results in an equivalent fraction.
• 🦻 Visual representation can aid in comprehension and intuition for fraction concepts.
• 🦻 Conceptualizing fractions as division or sharing of a whole can aid in problem-solving.
• 👻 Multiplying the denominator by a certain number allows for splitting a fraction into more pieces.
• ✖️ Multiplying both the numerator and denominator ensures that the value of the fraction remains the same.

Questions & Answers

Q: How can Sarah find 1/3 of her $48?

Sarah can find 1/3 of her $48 by creating an equivalent fraction with 48 as the denominator. She would set aside $16.

Q: How can visual representation help in understanding fractions?

Visual representation, such as dividing a pie or box into parts, can help in understanding fractions by showing the relationship between the whole and the fraction being considered.

Q: Why is 1/3 of 48 equal to 16/48?

1/3 of 48 is equal to 16/48 because dividing 48 into three equal parts would result in 16, which represents 1/3 of the whole.

Q: What is the process for finding an equivalent fraction?

To find an equivalent fraction, you can multiply both the numerator and denominator by the same number, ensuring that the value of the fraction remains the same.

Summary & Key Takeaways

• Sarah wants to save 1/3 of her $48 for a trip.

• To find 1/3 of 48, you can create an equivalent fraction using 48 as the denominator.

• By splitting a visual representation of 1/3 into 48 pieces, you can determine that 1/3 of 48 is equal to 16.