Question

Jane jogged 4/5 of a lap in P.E. class and 7/10 of a lap during track practice. How many laps did Jane jog in all?

Write your answer as a fraction or as a whole or mixed number.

Answer 1

To find the total number of laps Jane jogged, we need to add the two fractions: \( \frac{4}{5} \) and \( \frac{7}{10} \).

First, we need a common denominator for the fractions. The least common multiple of 5 and 10 is 10.

Now, we convert \( \frac{4}{5} \) to a fraction with a denominator of 10:

\[
\frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10}
\]

Now we can add \( \frac{8}{10} \) and \( \frac{7}{10} \):

\[
\frac{8}{10} + \frac{7}{10} = \frac{8 + 7}{10} = \frac{15}{10}
\]

Next, we simplify \( \frac{15}{10} \). Both the numerator and denominator can be divided by their greatest common divisor, which is 5.

\[
\frac{15 \div 5}{10 \div 5} = \frac{3}{2}
\]

Finally, \( \frac{3}{2} \) can also be expressed as a mixed number:

\[
\frac{3}{2} = 1 \frac{1}{2}
\]

Thus, the total number of laps Jane jogged is:

\[
\frac{3}{2} \text{ or } 1 \frac{1}{2}
\]