Which of the following options have the same value as $75 \%$ of $96$ ? $\newline$ Choose $3$ answers: $\newline$ A $\frac{3}{4} \cdot 96$ $\newline$ B $\frac{75}{100} \cdot 96$ $\newline$ c $0.75 \cdot 96$ $\newline$ D $\frac{4}{3} \cdot 96$ $\newline$ E $75 \cdot 96$

View step-by-step help

Home

Math Problems

Grade 8

Mean, median, mode, and range: find the missing number

Full solution

Q. Which of the following options have the same value as

75 \%

96

\newline

Choose

3

answers:

\newline

\frac{3}{4} \cdot 96

\newline

\frac{75}{100} \cdot 96

\newline

0.75 \cdot 96

\newline

\frac{4}{3} \cdot 96

\newline

75 \cdot 96

Understand the problem: Understand the problem. $\newline$ We need to find which options are equivalent to $75\%$ of $96$ . To do this, we will calculate the value of $75\%$ of $96$ and compare it with each option.
Calculate $75$ % of $96$ : Calculate $75\%$ of $96$ . $75\%$ of $96$ can be written as $(\frac{75}{100}) \times 96$ . Now, calculate the value. $(\frac{75}{100}) \times 96 = 0.75 \times 96 = 72$
Compare with option A: Compare the result with option A. $\newline$ Option A is $(\frac{3}{4}) \times 96$ . Since $\frac{3}{4}$ is equivalent to $\frac{75}{100}$ , we can calculate it as follows: $\newline$ $(\frac{3}{4}) \times 96 = 0.75 \times 96 = 72$ $\newline$ This matches the value we calculated for $75\%$ of $96$ .
Compare with option B: Compare the result with option B. $\newline$ Option B is $(75/100) \times 96$ . This is the same expression we used to calculate $75\%$ of $96$ , so it is also equal to $72$ .
Compare with option C: Compare the result with option C. Option C is $0.75 \times 96$ . This is the decimal form of $75\%$ , and it is the same calculation we have already done, so it is also equal to $72$ .
Compare with option D: Compare the result with option D. $\newline$ Option D is $(\frac{4}{3}) \times 96$ . This is not equivalent to $75\%$ , as $\frac{4}{3}$ is greater than $1$ . Therefore, this option will not have the same value as $75\%$ of $96$ .
Compare with option E: Compare the result with option E. $\newline$ Option E is $75 \times 96$ . This is not $75\%$ of $96$ ; it is $75$ times $96$ , which is much larger than $72$ .