Question

Matthew helped clean the kitchen for 1/3 hour. He helped with the laundry for 1 1/2 hours.

Altogether, how many hours did Matthew help clean the kitchen and help with laundry?

Answer 1

Explanation:

To find the total amount of time Matthew spent cleaning the kitchen and helping with the laundry, we need to add the two times together. However, the times are given in different formats (1/3 hour and 1 1/2 hours), so we need to convert them to a common format first.

To convert 1 1/2 hours to a fraction, we can multiply the whole number (1) by the denominator of the fraction (2) and then add the numerator (1). This gives us:

1 1/2 = (1 × 2 + 1)/2 = 3/2

So Matthew spent 1/3 hour cleaning the kitchen and 3/2 hours helping with the laundry. Adding these two times together, we get:

1/3 + 3/2 = 2/6 + 9/6 = 11/6

So Matthew spent 11/6 hours cleaning and doing laundry. We can simplify this fraction by dividing the numerator and denominator by their greatest common factor, which is 1:

11/6 = 1 5/6

Therefore, Matthew spent 1 hour and 5/6 of an hour (or 1 hour and 50 minutes) cleaning and doing laundry.