Question

which expressions are equivalent to \\(\frac{4}{5} \times 15\\)? choose all the correct answers. \\(4 \times \frac{15}{5}\\) \\(4 \times \frac{5}{15}\\) \\(4 \times 3\\) \\(5 \times 3\\) \\(3 \times \frac{15}{5}\\)

Explanation:

Step1: Calculate target expression

$\frac{4}{5} \times 15 = 4 \times 3 = 12$

Step2: Evaluate first option

$4 \times \frac{15}{5} = 4 \times 3 = 12$

Step3: Evaluate second option

$4 \times \frac{5}{15} = 4 \times \frac{1}{3} = \frac{4}{3}$

Step4: Evaluate third option

$4 \times 3 = 12$

Step5: Evaluate fourth option

$5 \times 3 = 15$

Step6: Evaluate fifth option

$3 \times \frac{15}{5} = 3 \times 3 = 9$

Answer:

$4 \times \frac{15}{5}$, $4 \times 3$