Questions: Determine whether the proportion is true or false. 15/33 = 22/46

Determine whether the proportion is true or false. 15/33 = 22/46
Transcript text: Determine whether the proportion is true or false. \[ \frac{15}{33}=\frac{22}{46} \]
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Solution

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Solution Steps

To determine whether the given proportion is true or false, we need to check if the two fractions are equivalent. This can be done by cross-multiplying the numerators and denominators and comparing the results.

Step 1: Define the Given Fractions

We are given two fractions: \[ \frac{15}{33} \quad \text{and} \quad \frac{22}{46} \]

Step 2: Cross-Multiply the Fractions

To determine if the fractions are equivalent, we cross-multiply: \[ 15 \times 46 \quad \text{and} \quad 22 \times 33 \]

Step 3: Calculate the Cross Products

Calculate the cross products: \[ 15 \times 46 = 690 \] \[ 22 \times 33 = 726 \]

Step 4: Compare the Cross Products

Compare the results of the cross products: \[ 690 \neq 726 \]

Final Answer

Since the cross products are not equal, the given proportion is false. \[ \boxed{\text{False}} \]

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