Question

Determine whether the proportion is true or false: 15/33 = 22/46?
1) True
2) False

Answer 1

After simplifying the fractions 15/33 and 22/46 or by cross-multiplying, we find the two proportions are not equal. Therefore, the proportion 15/33 = 22/46 is false.

Step-by-step explanation:

To determine whether the proportion 15/33 is equal to 22/46, we need to simplify both fractions or cross-multiply to see if the two proportions are equivalent. Simplifying both fractions:

• 15/33 simplifies to 5/11 when divided by the common factor of 3.
• 22/46 simplifies to 11/23 when divided by the common factor of 2.

Since 5/11 is not equal to 11/23, the proportion 15/33 = 22/46 is false.

Alternatively, we can cross-multiply to check equality:

1. 15 * 46 = 690
2. 33 * 22 = 726

Since 690 is not equal to 726, the two ratios are not equivalent, hence the proportion 15/33 = 22/46 is false.