When you take a whole item and break it into equal parts, what you get is one — or more — of those equal parts; these are known as fractions. This may sound very math-y and complicated, but each of us works with fractions all the time and may not even realize it! Slicing up pizza for a group of friends, estimating the amount of gas in the gas tank, and calculating the number of hours slept (or not slept!) are just a few instances when we likely work with fractions.

This week’s word problems give your child an opportunity to practice fractional reasoning. So take a look below and choose the problem that’s the right skill level. Have them give it a try. And when they feel they’ve found the answer, check their solution against ours on the next page.

# Questions

**Lower Elementary:**

*Question:*Derek has won 3 awards. Hansel has won 1 award. What fraction of all the awards did Derek win?

**Upper Elementary:**

*Question:*Gasoline costs $1.45 per gallon. If a car’s gas tank holds 15 gallons in total and is only

^{1}/

_{5}full right now, then how much will it cost to fill up the tank?

**Middle School:**

*Question*

*:*An ant is

^{1}/

_{16}of an inch tall. A middle school student is 4

^{1}/

_{2}feet tall. The student goes to a learning center that is 54 feet tall. If we scale by height, then how tall would a learning center for ants be?

**Algebra and Up:**

*Question:*A man throws a computer off of a platform straight to the ground. It falls 16 feet and hits the ground in

^{1}/

_{2}of a second. Consider this equation for vertical distance traveled in terms of initial velocity, time, and acceleration due to gravity (32 feet/second

^{2}):

(** distance**) = (

**)(**

*initial velocity***) –**

*time*^{1}/

_{2}(

**)(**

*acceleration due to gravity***)**

*time*^{2}

What is the initial velocity of the computer?

(*Hint:* The computer is traveling straight down, so the distance it travels is -16 feet in this instance.)