Question
What is StartFraction 4 Over 5 EndFraction divided by one-third
A fraction bar. The top bar is labeled 1. 3 bars underneath the bar are labeled one-third. 5 bars underneath the 4 bars are labeled one-fifth. 15 bars underneath the 5 bars are labeled StartFraction 1 Over 15 EndFraction.
The quotient is 2 and
.
A fraction bar. The top bar is labeled 1. 3 bars underneath the bar are labeled one-third. 5 bars underneath the 4 bars are labeled one-fifth. 15 bars underneath the 5 bars are labeled StartFraction 1 Over 15 EndFraction.
The quotient is 2 and
.
Answers
GPT-4o mini
To solve \(\frac{4}{5}\) divided by \(\frac{1}{3}\), we can multiply by the reciprocal of the second fraction.
This means we need to calculate:
\[
\frac{4}{5} \div \frac{1}{3} = \frac{4}{5} \times \frac{3}{1}
\]
Now, multiplying the fractions:
\[
\frac{4 \times 3}{5 \times 1} = \frac{12}{5}
\]
Thus, \(\frac{4}{5} \div \frac{1}{3} = \frac{12}{5}\).
In mixed number form, \(\frac{12}{5}\) is equal to \(2\) and \(\frac{2}{5}\).
So, the final answer is:
\[
2 \frac{2}{5}
\]
This means we need to calculate:
\[
\frac{4}{5} \div \frac{1}{3} = \frac{4}{5} \times \frac{3}{1}
\]
Now, multiplying the fractions:
\[
\frac{4 \times 3}{5 \times 1} = \frac{12}{5}
\]
Thus, \(\frac{4}{5} \div \frac{1}{3} = \frac{12}{5}\).
In mixed number form, \(\frac{12}{5}\) is equal to \(2\) and \(\frac{2}{5}\).
So, the final answer is:
\[
2 \frac{2}{5}
\]