A group of people in a city decide to measure the total distance of a walking path and put up distance markers for the people who walk. On one particular day they put up markers on 78

Question

of a mile along the way. The next day they put up markers on another 12
of a mile. What is the total distance they have completed? Change improper fractions to mixed numbers in order to get full credit. (2 points)
Skip to navigation

Answer 1

To find the total distance of the walking path covered by the markers, we need to add the two fractions given: \( \frac{78}{100} \) (which we can simplify) and \( \frac{12}{100} \).

First, let's convert the fractions to a common denominator:

1. Convert the fractions:

   \[ \frac{78}{100} + \frac{12}{100} = \frac{78 + 12}{100} = \frac{90}{100} \]

2. Simplify the fraction:

   \[ \frac{90}{100} = \frac{9}{10} \]

3. Convert to a mixed number:

Since \( \frac{9}{10} \) is less than 1, it can remain as is. It's already in simplest form and therefore a proper fraction.

Thus, the total distance they have completed is \( \frac{9}{10} \) miles.

If you wanted to show this as a mixed number, it would remain \( 0 \frac{9}{10} \), or simply \( \frac{9}{10} \) since there are no whole miles completed.

So the answer is: Total Distance: \( \frac{9}{10} \) miles.