Question

Tom jogs 4 1/6 miles from his house. He then jogs 5 4/5 miles farther. How many miles has Tom jogged in all? Write your answer as a mixed number in simplest form.

Answer 1

Explanation:

To solve the problem, we need to add the two distances Tom jogged:

4 1/6 + 5 4/5

To add the two mixed numbers, we need to convert them into improper fractions:

4 1/6 = (6 x 4 + 1) / 6 = 25 / 6

5 4/5 = (5 x 5 + 4) / 5 = 29 / 5

Now we can add the two fractions:

25/6 + 29/5

To add the fractions, we need to find a common denominator:

LCM of 6 and 5 = 30

25/6 x 5/5 = 125/30

29/5 x 6/6 = 174/30

Now we can add the fractions:

125/30 + 174/30 = 299/30

The sum of the distances in improper fraction form is 299/30 miles. To write the answer as a mixed number in simplest form, we need to divide the numerator by the denominator:

299 / 30 = 9 29/30

Therefore, Tom has jogged 9 29/30 miles in all.