Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
Chapter Review
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Exercise 11 Page 225

Write the given rates as fractions and simplify them as much as possible. Then, compare the simplified fractions. Are they the same?

No, see solution.

Practice makes perfect
We want to determine whether the given rates are equivalent.
Notice that pound and ounces indicate different units of weight. We can start by converting pound to ounces. We can do so using the conversion factor from pounds to ounces.
Let's simplify our expression!
Simplify
Now we can rewrite our rate.
One way to know if two ratios or rates are equivalent is by writing them as fractions. We can check if the relationship between the two quantities is the same when we compare these fractions in their simplest form. Let's see if the given rates are equivalent!
We need to simplify the above expressions. Let's start by simplifying the first rate. To make the math a little bit simpler, we will only look at the numbers.
Next, we can simplify the second rate.
Finally, we can compare the simplified rates.
Since the fractions are not equivalent, the ratios are not equivalent.