Question
A school has a hurdle track that is 1/5 of a mile long. They are considering extending the track to be 1/4 of a mile long.
Answers
GPT-4o mini
To find out how much longer the track will be if it is extended from \( \frac{1}{5} \) of a mile to \( \frac{1}{4} \) of a mile, you can subtract the current length from the new length.
The lengths in fractions are:
- Current length: \( \frac{1}{5} \) mile
- New length: \( \frac{1}{4} \) mile
To subtract these fractions, first find a common denominator. The least common multiple of 5 and 4 is 20.
Now, convert both fractions to have the common denominator of 20:
\[
\frac{1}{5} = \frac{4}{20}
\]
\[
\frac{1}{4} = \frac{5}{20}
\]
Now subtract the two fractions:
\[
\frac{5}{20} - \frac{4}{20} = \frac{1}{20}
\]
Therefore, the track will be extended by \( \frac{1}{20} \) of a mile.
The lengths in fractions are:
- Current length: \( \frac{1}{5} \) mile
- New length: \( \frac{1}{4} \) mile
To subtract these fractions, first find a common denominator. The least common multiple of 5 and 4 is 20.
Now, convert both fractions to have the common denominator of 20:
\[
\frac{1}{5} = \frac{4}{20}
\]
\[
\frac{1}{4} = \frac{5}{20}
\]
Now subtract the two fractions:
\[
\frac{5}{20} - \frac{4}{20} = \frac{1}{20}
\]
Therefore, the track will be extended by \( \frac{1}{20} \) of a mile.