Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
1. Ratios
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Exercise 32 Page 113

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

No, they are not equivalent.

Practice makes perfect
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! c|c First Ratio & Second Ratio [0.8em] 85 : 210 & 340:735 First, let's write both of them as fractions. c|c First Ratio & Second Ratio [0.8em] 85/210 & 340/735 We need to simplify the above expressions. Let's start by simplifying the first ratio.
85/210
85Ă· 5/210Ă· 5
17/42
Let's now simplify the second rate.
340/735
340Ă· 5/735Ă· 5
68/147
Finally, we can compare the simplified rates. 17/42 ≠ 68/147 Since the fractions are not equivalent, the ratios are not equivalent.