Rachel paints 5 1/2 square meters of wall space in 1/3 hour. what area of wall space can she paint in 1 hour?

16 1/2, or 16.5 square meters

Step-by-step explanation:

This is a simple explanation, scroll down for the details on how I got to this answer!

Step 1. Find the rate at which Rachel can paint.

(5 1/2 square meters per 1/3 hour)

Step 2. Find the area of wall space Rachel can paint in 1 hour, using this rate.

5 1/2 × 3 = 16 1/2 or 16.5 square meters

1/3 × 3 = 1 hour

Rachel can paint 16 1/2 square meters of wall space in 1 hour.

**How I solved this problem**

Step 1. To find the area of wall space Rachel can paint in 1 hour, we need to find a rate that shows her speed (square meters/hours).

In the first sentence, we are given a rate:

"5 1/2 square meters of wall space in 1/3 hour."

This can be modeled by the fraction:

Step 2. To find how much she can paint in 1 hour, we can multiply this rate by 3. This is because the rate tells us that the area of wall space Rachel can paint in 1/3 hour.

Remember, to cancel out a fraction, multiply by its reciprocal, which is the fraction "flipped" (the numerator and denominator switch). We multiply 1/3 by 3/1 (3) because it is 1/3 flipped.

Since Rachel is painting at a constant rate of 5 1/2 square meters per 1/3 hour, we also need to multiply the other part of the fraction by 3, so the rate stays the same.

5 1/2 × 3 = 16 1/2 or 16.5 square meters

1/3 × 3 = 1 hour

This is our final Rachel can paint 16 1/2 square meters of wall space in 1 hour.

these sign is used to tell weather the number is greater or less than the number   <   or >     but this sign means its equal =    

hope this you and

step-by-step explanation: