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Which of the following options have the same value as 
75% of 96 ?
Choose 3 answers:
A 
(3)/(4)*96
B 
(75)/(100)*96
c 
0.75*96
D 
(4)/(3)*96
E 
75*96

Which of the following options have the same value as 75% 75 \% of 9696 ?\newlineChoose 33 answers:\newlineA 3496 \frac{3}{4} \cdot 96 \newlineB 7510096 \frac{75}{100} \cdot 96 \newlinec 0.7596 0.75 \cdot 96 \newlineD 4396 \frac{4}{3} \cdot 96 \newlineE 7596 75 \cdot 96

Full solution

Q. Which of the following options have the same value as 75% 75 \% of 9696 ?\newlineChoose 33 answers:\newlineA 3496 \frac{3}{4} \cdot 96 \newlineB 7510096 \frac{75}{100} \cdot 96 \newlinec 0.7596 0.75 \cdot 96 \newlineD 4396 \frac{4}{3} \cdot 96 \newlineE 7596 75 \cdot 96
  1. Understand the problem: Understand the problem.\newlineWe need to find which options are equivalent to 75%75\% of 9696. To do this, we will calculate the value of 75%75\% of 9696 and compare it with each option.
  2. Calculate 7575% of 9696: Calculate 75%75\% of 9696. 75%75\% of 9696 can be written as (75100)×96(\frac{75}{100}) \times 96. Now, calculate the value. (75100)×96=0.75×96=72(\frac{75}{100}) \times 96 = 0.75 \times 96 = 72
  3. Compare with option A: Compare the result with option A.\newlineOption A is (34)×96(\frac{3}{4}) \times 96. Since 34\frac{3}{4} is equivalent to 75100\frac{75}{100}, we can calculate it as follows:\newline(34)×96=0.75×96=72(\frac{3}{4}) \times 96 = 0.75 \times 96 = 72\newlineThis matches the value we calculated for 75%75\% of 9696.
  4. Compare with option B: Compare the result with option B.\newlineOption B is (75/100)×96(75/100) \times 96. This is the same expression we used to calculate 75%75\% of 9696, so it is also equal to 7272.
  5. Compare with option C: Compare the result with option C. Option C is 0.75×960.75 \times 96. This is the decimal form of 75%75\%, and it is the same calculation we have already done, so it is also equal to 7272.
  6. Compare with option D: Compare the result with option D.\newlineOption D is (43)×96(\frac{4}{3}) \times 96. This is not equivalent to 75%75\%, as 43\frac{4}{3} is greater than 11. Therefore, this option will not have the same value as 75%75\% of 9696.
  7. Compare with option E: Compare the result with option E.\newlineOption E is 75×9675 \times 96. This is not 75%75\% of 9696; it is 7575 times 9696, which is much larger than 7272.

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