Question

Use cross multiplication to decide whether the following proportion is true or false.
StartFraction 15 Over 8 EndFraction equals StartFraction 60 Over 32 EndFraction
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Part 1
Is the proportion true or​ false?

Answer 1

To determine whether the proportion \(\frac{15}{8} = \frac{60}{32}\) is true or false using cross multiplication, we multiply across the equals sign:

1. Multiply the numerator of the first fraction by the denominator of the second fraction:
\[
15 \times 32 = 480
\]

2. Multiply the denominator of the first fraction by the numerator of the second fraction:
\[
8 \times 60 = 480
\]

Now we compare the two results:
\[
480 = 480
\]

Since both sides are equal, the proportion \(\frac{15}{8} = \frac{60}{32}\) is **true**.