Question

how will the product of \\(\frac{7}{5} \times 15\\) compare to 15, and why?

choose 1 answer:

(a) it will be less because we are multiplying 15 by a fraction that is less than 1.
(b) it will be equal because we are multiplying 15 by a fraction that is equal to 1.
(c) it will be greater because we are multiplying 15 by a fraction that is greater than 1.

Explanation:

Compare the scaling factor to 1

Using the Fraction Multiplication Scaling knowledge point

$$ \frac{7}{5} > 1 $$

Determine the effect of multiplication

Using the Fraction Multiplication Scaling knowledge point

$$ \frac{7}{5} \times 15 > 15 $$

Answer:

• (A) It will be less because we are multiplying 15 by a fraction that is less than 1.
• (B) It will be equal because we are multiplying 15 by a fraction that is equal to 1.
• (C) It will be greater because we are multiplying 15 by a fraction that is greater than 1. (Correct answer)