Multiplying fractions word problem: banana oat muffin recipe | Pre-Algebra | Khan Academy

TL;DR

Learn how to calculate a fraction of a fraction and visualize it using a recipe for banana oat muffins.

Transcript

A recipe for banana oat muffins calls for 3/4 of a cup of old-fashioned oats. You are making 1/2 of the recipe. How much oats should you use? So if the whole recipe requires 3/4 of a cup and you're making half of the recipe, you want half of 3/4, right? You want half of the number of old-fashioned oats as the whole recipe. So you want 1/2 of 3/4. S... Read More

Key Insights

• ✖️ Calculating a fraction of a fraction involves multiplying the numerators and denominators.
• ❓ Visualizing fractions can provide a better understanding of the concept.
• ✖️ To find 1/2 of 3/4, multiply 1/2 by 3/4 to get 3/8.

Questions & Answers

Q: How do I calculate a fraction of a fraction?

To calculate a fraction of a fraction, multiply the numerators and denominators. For example, if you want to find 1/2 of 3/4, multiply 1/2 by 3/4 to get the answer.

Q: Can I simplify the fraction 3/8?

Yes, the fraction 3/8 can be simplified to 3/8 itself because the numerator and denominator do not have any common factors other than 1.

Q: What does 3/4 represent in the visualization?

In the visualization, 3/4 represents the amount of oats required for the whole recipe. It is depicted as three sections of an imaginary cup.

Q: Why do we split each fourth into two eighths in the visualization?

Splitting each fourth into two eighths allows us to better understand the relative amount of oats needed for half the recipe. It helps us visualize that 1/2 of 3/4 is equivalent to 3/8.

Summary & Key Takeaways

• The recipe calls for 3/4 cup of old-fashioned oats, but you want to make only half of the recipe.

• To calculate the amount of oats needed, multiply 1/2 by 3/4, resulting in 3/8 cup of oats.

• Visualizing the fractions, 3/4 represents three sections, while 1/2 of that is 3/8, which is represented by splitting each fourth into two eighths.