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A recipe for banana oat muffins calls for \( \frac{2}{3} \) cup of old fashioned oats. You are making \( \frac{3}{4} \) of the recipe. How many cups of oats should you use? (Reduce fractions to the lowest term) Question Help: Video \( \square \) Message instructor D Post to forum Submit Question

Ask by Joseph Malone. in the United States
Jan 22,2025

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Answer

You should use \( \frac{1}{2} \) cup of old fashioned oats.

Solution

To determine how many cups of old fashioned oats you should use when making \( \frac{3}{4} \) of the original recipe, follow these steps: 1. **Identify the Original Amount:** - The original recipe calls for \( \frac{2}{3} \) cup of old fashioned oats. 2. **Determine the Fraction of the Recipe You're Making:** - You're making \( \frac{3}{4} \) of the recipe. 3. **Calculate the Required Amount of Oats:** - Multiply the original amount by the fraction you're making: \[ \frac{3}{4} \times \frac{2}{3} = \frac{3 \times 2}{4 \times 3} = \frac{6}{12} \] 4. **Simplify the Fraction:** - Reduce \( \frac{6}{12} \) to its lowest terms by dividing both the numerator and the denominator by 6: \[ \frac{6 \div 6}{12 \div 6} = \frac{1}{2} \] **Conclusion:** You should use **\( \frac{1}{2} \) cup of old fashioned oats** for \( \frac{3}{4} \) of the recipe.

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Mind Expander

To find out how many cups of oats you need, you multiply \( \frac{2}{3} \) by \( \frac{3}{4} \). So, \( \frac{2}{3} \times \frac{3}{4} = \frac{6}{12} \). Reducing \( \frac{6}{12} \) gives you \( \frac{1}{2} \). Thus, you should use \( \frac{1}{2} \) cup of old fashioned oats for \( \frac{3}{4} \) of the recipe! This simple adjustment not only saves ingredients but also helps in mastering the art of portion control. It’s a fun way to experiment in the kitchen without wasting unnecessary resources. Plus, when you tweak recipes, you might stumble upon delightful new flavors that can become your signature muffin invention!

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