Yes, here's how you can show it, for the equivalent proportions a/b & (n*a)/(n*b):
a na
-=--
b nb
Cross multiply: a*n*b ? b*n*a. Because multiplication is commutative, the question mark is an equal sign.
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The fractions are proportional and their cross products are equal
The answer is cross products.
An equation that sets two fractions equal to each other is called a proportion. In a proportion, the cross products of the fractions are equal. For example, if you have the proportion ( \frac{a}{b} = \frac{c}{d} ), then ( ad = bc ). Proportions are commonly used in solving problems involving ratios and rates.
Yes, they are.
The ratios are not equal.