Scelta multipla
Simplify the following fraction to lowest terms.
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1. Introduction to Macroeconomics
Fractions Review
Scelta multipla
Determine if the following pair of fractions is equivalent using cross products.
A
Yes
B
No
C
Cannot be determined.
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Identify the two fractions given: \(\frac{-6}{21}\) and \(\frac{2}{7}\).
Recall that two fractions \(\frac{a}{b}\) and \(\frac{c}{d}\) are equivalent if and only if their cross products are equal, i.e., \(a \times d = b \times c\).
Calculate the cross products: multiply the numerator of the first fraction by the denominator of the second fraction, and multiply the denominator of the first fraction by the numerator of the second fraction. That is, compute \((-6) \times 7\) and \(21 \times 2\).
Compare the two cross products obtained. If they are equal, the fractions are equivalent; if not, they are not equivalent.
Based on the comparison, conclude whether the fractions \(\frac{-6}{21}\) and \(\frac{2}{7}\) are equivalent or not.
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