Jace walked a total distance of StartFraction 5 Over 6 EndFraction of a mile to school this week. If he walked the same distance each of the 5 days, how far did he walk each day?

One-sixth of a mile
One-fifth of a mile
StartFraction 6 Over 25 EndFraction of a mile
StartFraction 25 Over 6 EndFraction miles

1 answer

To find out how far Jace walked each day, we need to divide the total distance he walked by the number of days.

Jace walked a total of \(\frac{5}{6}\) of a mile over 5 days.

To find the distance he walked each day, we will divide \(\frac{5}{6}\) by 5:

\[ \text{Distance per day} = \frac{5}{6} \div 5 \]

Dividing by a whole number can be done by multiplying by the reciprocal. The reciprocal of 5 is \(\frac{1}{5}\). Thus, we have:

\[ \frac{5}{6} \div 5 = \frac{5}{6} \times \frac{1}{5} = \frac{5 \times 1}{6 \times 5} = \frac{5}{30} = \frac{1}{6} \]

So, Jace walked \(\frac{1}{6}\) of a mile each day.

The correct answer is one-sixth of a mile.