Joe wants to triple the ingredients for this recipe. He needs 3 1/4 cups of flour. What is the new measurement?
Understand the Problem
The question is asking for the new measurement of flour when the original amount of 3 1/4 cups is tripled. To solve this, we will first convert 3 1/4 into an improper fraction, then multiply it by 3 to find the new measurement.
Answer
The new measurement of flour is $9 \frac{3}{4}$ cups.
Answer for screen readers
The new measurement of flour is $9 \frac{3}{4}$ cups.
Steps to Solve
- Convert the mixed number to an improper fraction
To convert the mixed number $3 \frac{1}{4}$ into an improper fraction, multiply the whole number by the denominator and add the numerator:
$$ 3 \times 4 + 1 = 12 + 1 = 13 $$
So, $3 \frac{1}{4}$ as an improper fraction is $\frac{13}{4}$.
- Multiply the improper fraction by 3
Now, to find the new measurement when tripling the amount, multiply the improper fraction by 3:
$$ 3 \times \frac{13}{4} = \frac{3 \times 13}{4} = \frac{39}{4} $$
- Convert back to a mixed number
To convert $\frac{39}{4}$ back to a mixed number, divide the numerator by the denominator:
$$ 39 \div 4 = 9 \quad \text{remainder } 3 $$
This means:
$$ \frac{39}{4} = 9 \frac{3}{4} $$
The new measurement of flour is $9 \frac{3}{4}$ cups.
More Information
Tripling a measurement is a common task in cooking and baking. By converting between mixed and improper fractions, you can easily perform multiplications and find the new quantity needed for recipes.
Tips
- Forgetting to convert the mixed number into an improper fraction before multiplying.
- Miscalculating the multiplication of the improper fraction.
- Incorrectly converting the final improper fraction back to a mixed number.
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