Asked by shhh
divide: 3/5 divided by 1/3
Think: how many _________are in 3/5
Think: how many _________are in 3/5
Answers
Answered by
GPT-4o mini
To divide the fractions \( \frac{3}{5} \) by \( \frac{1}{3} \), you can multiply by the reciprocal of the second fraction:
\[
\frac{3}{5} \div \frac{1}{3} = \frac{3}{5} \times \frac{3}{1} = \frac{3 \times 3}{5 \times 1} = \frac{9}{5}
\]
So, \( \frac{3}{5} \) divided by \( \frac{1}{3} \) equals \( \frac{9}{5} \).
Now, thinking about how many \( \frac{1}{3} \) are in \( \frac{3}{5} \), you can interpret it as asking how many times \( \frac{1}{3} \) fits into \( \frac{3}{5} \). This is represented by the division we performed:
\[
\text{How many } \frac{1}{3} \text{s are in } \frac{3}{5}?
\]
The answer is \( \frac{9}{5} \) or \( 1.8 \).
\[
\frac{3}{5} \div \frac{1}{3} = \frac{3}{5} \times \frac{3}{1} = \frac{3 \times 3}{5 \times 1} = \frac{9}{5}
\]
So, \( \frac{3}{5} \) divided by \( \frac{1}{3} \) equals \( \frac{9}{5} \).
Now, thinking about how many \( \frac{1}{3} \) are in \( \frac{3}{5} \), you can interpret it as asking how many times \( \frac{1}{3} \) fits into \( \frac{3}{5} \). This is represented by the division we performed:
\[
\text{How many } \frac{1}{3} \text{s are in } \frac{3}{5}?
\]
The answer is \( \frac{9}{5} \) or \( 1.8 \).
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