Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
2. Using Tape Diagrams
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Exercise 4 Page 119

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

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] 2/12 & 6/24 We need to simplify the above expressions. Let's start by simplifying the rate for the first package. To make the math a little bit simpler, we will only look at the numbers.

2/12
2÷ 2/12÷ 2
1/6

Let's now simplify the rate for the second package.

6/24
6÷ 6/24÷ 6
1/4

Finally, we can compare the simplified rates. 1/6 ≠ 1/4 Since the fractions are not equivalent, the ratios are not equivalent.