A certain recipe calls 3 2/3 cups of sugar. If the recipe is to be doubled, how much sugar should be used?

To double the amount of sugar in the recipe, you need to multiply the original amount of sugar by 2.

The original amount of sugar is \( 3 \frac{2}{3} \) cups. First, convert this mixed number into an improper fraction:

\[
3 \frac{2}{3} = \frac{11}{3}
\]

Now, double the amount of sugar:

\[
2 \times \frac{11}{3} = \frac{22}{3}
\]

Converting \( \frac{22}{3} \) back into a mixed number:

\[
\frac{22}{3} = 7 \frac{1}{3}
\]

So, if the recipe is doubled, you should use \( 7 \frac{1}{3} \) cups of sugar.

Would you like further clarification on any part of this? Here are some related questions:

1. How do you convert between mixed numbers and improper fractions?
2. What are other methods for multiplying mixed numbers?
3. How can you simplify improper fractions into mixed numbers?
4. What if you need to increase the recipe by 1.5 times instead of doubling it?
5. How would you handle more complex ingredients or measurements in recipes?

**Tip:** When dealing with fractions, it's often easier to convert mixed numbers to improper fractions before performing operations like multiplication or division.

A certain recipe calls for 3 2/3 cups of sugar. If the recipe is to be doubled, how much sugar should be used?

Learn how to double a recipe that calls for 3 2/3 cups of sugar. This step-by-step guide walks you through converting mixed numbers to improper fractions and multiplying to find the correct amount. Suitable for students in Grades 5-6.

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