(d) Is the equality $$ \frac{45}{75}=\frac{51}{85} $$ a proportion? Select the correct answer below and fill in the answer box to complete your choice. A. Yes, because the numerator of the first fraction multiplied by the denominator of the second fraction equals the denominator of the first fraction multiplied by the numerator of the second fraction. They both are equal to B. No, the equation is not proportional because the numerator of the first fraction multiplied by the denominator of the second fraction equals denominator of the first fraction multiplied by the numerator of the second fraction equals $$ \square $$

Question

UpStudy AI · Accepted Answer

1. Compute the cross products:

$$
   45 \times 85 = 3825 \quad \text{and} \quad 75 \times 51 = 3825
   $$

2. Since the cross products are equal ($$3825 = 3825$$), the equality

$$
   \frac{45}{75}=\frac{51}{85}
   $$

is a proportion.

3. The correct answer is:

**A. Yes, because the numerator of the first fraction multiplied by the denominator of the second fraction equals the denominator of the first fraction multiplied by the numerator of the second fraction. They both are equal to $$3825$$.**
The equality $$ \frac{45}{75} = \frac{51}{85} $$ is a proportion because $$ 45 \times 85 = 75 \times 51 = 3825 $$.

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