Fraction Problem: Finding Combined 1/5 and 1/3 of 15 Balls

There are a total of 15 balls in a jar.

$\frac{1}{5}$ of the balls are blue and $\frac{1}{3}$ of the balls are red.

How many balls in the jar are either red or blue?

Let's solve the problem step-by-step:

• Step 1: Calculate the number of blue balls.

We know that $\frac{1}{5}$ of the 15 balls are blue. Thus, the number of blue balls is calculated as:

$\text{Number of blue balls} = \frac{1}{5} \times 15 = 3$

• Step 2: Calculate the number of red balls.

Similarly, $\frac{1}{3}$ of the 15 balls are red. So, the number of red balls is:

$\text{Number of red balls} = \frac{1}{3} \times 15 = 5$

• Step 3: Find the total number of balls that are either red or blue.

Sum the number of blue balls and the number of red balls:

$\text{Total number of red or blue balls} = 3 + 5 = 8$

Therefore, there are a total of 8 balls in the jar that are either red or blue.