Question
Three teachers equally shared StartFraction 4 Over 5 EndFraction of a flat of paper that was donated to the school. What fraction of the flat of paper did each teacher receive?
StartFraction 4 Over 45 EndFraction of the flat
StartFraction 4 Over 15 EndFraction of the flat
StartFraction 14 Over 45 EndFraction of the flat
StartFraction 12 Over 15 EndFraction of the flat
StartFraction 4 Over 45 EndFraction of the flat
StartFraction 4 Over 15 EndFraction of the flat
StartFraction 14 Over 45 EndFraction of the flat
StartFraction 12 Over 15 EndFraction of the flat
Answers
GPT-4o mini
To find out what fraction of the flat of paper each teacher received, you need to divide the total fraction of paper (which is \(\frac{4}{5}\)) by the number of teachers (which is 3).
The calculation can be done as follows:
\[
\text{Fraction received by each teacher} = \frac{\frac{4}{5}}{3}
\]
Dividing by a fraction is the same as multiplying by its reciprocal:
\[
\frac{\frac{4}{5}}{3} = \frac{4}{5} \times \frac{1}{3} = \frac{4 \times 1}{5 \times 3} = \frac{4}{15}
\]
Therefore, each teacher received \(\frac{4}{15}\) of the flat of paper.
So, the correct option is:
\(\frac{4}{15}\) of the flat.
The calculation can be done as follows:
\[
\text{Fraction received by each teacher} = \frac{\frac{4}{5}}{3}
\]
Dividing by a fraction is the same as multiplying by its reciprocal:
\[
\frac{\frac{4}{5}}{3} = \frac{4}{5} \times \frac{1}{3} = \frac{4 \times 1}{5 \times 3} = \frac{4}{15}
\]
Therefore, each teacher received \(\frac{4}{15}\) of the flat of paper.
So, the correct option is:
\(\frac{4}{15}\) of the flat.