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

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.

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

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

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

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

Final Answer