# Question Video: Comparing Rates in Tables to Determine Equivalence Mathematics • 8th Grade

Victoria says that the ratios of protein to carbohydrate in the two samples are equivalent. Is she correct?

01:18

### Video Transcript

Victoria says that the ratio of protein to carbohydrate in the two samples are equivalent. Is she correct?

Let’s start with sample one. We wanna know the ratio of protein to carbohydrates. In the first sample, there’re four grams of protein and seven grams of carbs. We’ll do the same thing for sample two. The ratio of protein and carbohydrates is 36 grams to 63 grams. Victoria’s claim is that these two ratios are equal.

To determine this, we could ask is there something we could multiply the numerator and the denominator by? Is there something we can multiply both four and seven by to equal 36 and 63? I know that four times nine equals 36. And seven times nine equals 63. And that means four-sevenths and thirty-six sixty-thirds are equivalent fractions.

So yes, Victoria is correct.

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