COMPARINGUNIT RATES

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Comparing unit rates involves comparing the rates at which two quantities are calculated or expressed. A unit rate is a ratio where the denominator represents a single unit of measurement. It allows you to compare different quantities using a consistent unit.

To compare unit rates, follow these steps:

1. Identify the two rates you want to compare. For example, let's say you want to compare the unit rates of apples and oranges at a grocery store.

2. Write down the rates as ratios. For example, the rate of apples could be 5 apples for $2.50 and the rate of oranges could be 8 oranges for $3.00.

3. Simplify the ratios if possible. In our example, we can simplify the ratio of apples to 5/2.50 = 2/1 and the ratio of oranges to 8/3.

4. Convert the ratios into unit rates by dividing the numerator by the denominator. In our example, the unit rate for apples is 2/1 = 2 apples per dollar and the unit rate for oranges is 8/3 = 2.67 oranges per dollar.

5. Compare the unit rates to determine which is greater or smaller. In our example, we can see that the unit rate for apples is greater than the unit rate for oranges, meaning you get more apples per dollar compared to oranges.

Comparing unit rates can help you understand the better value or efficiency of different options. It is useful in various real-life situations such as comparing prices, speeds, or efficiency of different items or processes.