Question

evaluate the expression:
\\\frac{5}{6} \times \frac{9}{25}\\
which options are equivalent to the expression above?
select all that apply.

select all that apply
a. \\\frac{1}{3} \times \frac{3}{5}\\
b. \\\frac{1}{2} \times \frac{3}{5}\\
c. \\\frac{5}{2} \times \frac{3}{5}\\
d. \\\frac{1}{2} \times \frac{3}{20}\\
e. \\\frac{1}{6} \times \frac{9}{5}\\
f. \\\frac{5}{2} \times \frac{3}{25}\\

Explanation:

Evaluate the given expression

$$ \frac{5}{6} \times \frac{9}{25} = \frac{5 \times 9}{6 \times 25} = \frac{45}{150} = \frac{3}{10} $$

Evaluate the options

$$
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$$

Identify equivalent options

$$ \text{Equivalent options: B, E, F} $$

Answer:

• (A) \(\frac{1}{3} \times \frac{3}{5}\)
• (B) \(\frac{1}{2} \times \frac{3}{5}\) (Correct answer)
• (C) \(\frac{5}{2} \times \frac{3}{5}\)
• (D) \(\frac{1}{2} \times \frac{3}{20}\)
• (E) \(\frac{1}{6} \times \frac{9}{5}\) (Correct answer)
• (F) \(\frac{5}{2} \times \frac{3}{25}\) (Correct answer)