which of the following options have the same value as 96% of 25? choose 2 answers: a $\frac{96}{100}cdot25$…

Answer:

A. $\frac{96}{100}\cdot25$, B. $0.96\cdot25$

Explanation:

Step1: Recall percentage - to - fraction/decimal conversion

Percent means "per hundred". So $96%=\frac{96}{100}=0.96$.

Step2: Calculate $96%$ of $25$

$96%$ of $25$ can be written as $\frac{96}{100}\cdot25$ or $0.96\cdot25$.

Step3: Analyze each option

• Option A: $\frac{96}{100}\cdot25$ is correct as per the percentage - of calculation.
• Option B: Since $96% = 0.96$, $0.96\cdot25$ is also correct.
• Option C: $0.96\cdot0.25$ is wrong because we need $0.96\cdot25$ not $0.96\cdot0.25$.
• Option D: $\frac{96}{100}\cdot\frac{25}{100}=\frac{96\times25}{100\times100}$ is wrong.
• Option E: $96\cdot25$ is wrong as we need to consider the percentage factor (divide by 100).