Question
10. How many \( \frac{1}{3} s \) are in \( \frac{7}{3} \) ?
Ask by Pearson Barber. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
There are 7 \( \frac{1}{3} \) in \( \frac{7}{3} \).
Solution
To find out how many \( \frac{1}{3} \) are in \( \frac{7}{3} \), we need to divide \( \frac{7}{3} \) by \( \frac{1}{3} \).
The division of fractions is done by multiplying the first fraction by the reciprocal of the second fraction.
So, \( \frac{7}{3} \div \frac{1}{3} = \frac{7}{3} \times \frac{3}{1} \).
Now, we can calculate the result of this multiplication to find out how many \( \frac{1}{3} \) are in \( \frac{7}{3} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\frac{7}{3}\times 3}{1}\)
- step1: Multiply the terms:
\(7\)
There are 7 \( \frac{1}{3} \) in \( \frac{7}{3} \).
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Simplify this solution Bonus Knowledge
To find out how many \( \frac{1}{3} \)s are in \( \frac{7}{3} \), you can divide \( \frac{7}{3} \) by \( \frac{1}{3} \). When you divide by a fraction, you multiply by its reciprocal. So, \( \frac{7}{3} \div \frac{1}{3} = \frac{7}{3} \times 3 = 7 \). Thus, there are 7 \( \frac{1}{3} \)s in \( \frac{7}{3} \)! Fun fact: the concept of dividing by fractions is akin to sharing a delicious pie! Imagine cutting a pie into thirds: each \( \frac{1}{3} \) represents a slice. When you want to see how many of these slices fit into a larger portion, you’re basically figuring out how many full pie slices can be enjoyed. And who doesn’t love a good pie analogy?
