Question

Use cross multiplication to decide whether the following proportion is true or false.
StartFraction 10 Over 9 EndFraction equals StartFraction 20 Over 18 EndFraction
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Part 1
Is the proportion true or​ false?

Answer 1

To determine whether the proportion \(\frac{10}{9} = \frac{20}{18}\) is true or false using cross multiplication, we can cross-multiply the fractions.

Starting with the proportion:
\[
\frac{10}{9} = \frac{20}{18}
\]

Cross multiplying gives us:
\[
10 \times 18 = 9 \times 20
\]

Now, we calculate both sides:

Left side:
\[
10 \times 18 = 180
\]

Right side:
\[
9 \times 20 = 180
\]

Since both sides are equal (180 = 180), the proportion is **true**.

So the answer is:
**True**.