Question

estimate. which sign makes the statement true?
\\(\frac{3}{4} \times 54\\) ? \\(\frac{3}{4} \times 15\\)
\\(>\\) \\(<\\) \\(=\\)
submit

Explanation:

Step1: Analyze the common factor

Both expressions have the common factor $\frac{3}{4}$. We can compare the other factors (54 and 15) since when multiplying by the same positive number, the larger the other factor, the larger the product.

Step2: Compare 54 and 15

We know that $54 > 15$.

Step3: Determine the relationship between the products

Since $\frac{3}{4}$ is positive and $54 > 15$, then $\frac{3}{4} \times 54 > \frac{3}{4} \times 15$.

Answer:

\( \boldsymbol{>} \) (The option: \( > \))