- IF 40% IS EQUAL TO THE FRACTION X/30, WHAT IS THE VALUE OF X? A. 0.4 B. 15 C. 1,200 D. 12
The Correct Answer and Explanation is:
Correct Answer: D. 12
Explanation:
We are given that:
40% is equal to the fraction X⁄30
Our goal is to find the value of X that makes this statement true.
Step 1: Understand the percent
40% means 40 per 100, or: 40%=40100=0.440\% = \frac{40}{100} = 0.440%=10040=0.4
Step 2: Set up the equation
According to the question, the fraction X⁄30 is equal to 0.4: X30=0.4\frac{X}{30} = 0.430X=0.4
Step 3: Solve for X
To find X, multiply both sides of the equation by 30: X=0.4×30X = 0.4 \times 30X=0.4×30 X=12X = 12X=12
Final Answer: D. 12
Additional Explanation:
This type of question tests your ability to translate between percentages and fractions. A percentage is just a special kind of fraction with 100 as the denominator. To compare or equate it with another fraction, you must first convert the percentage to a decimal or a proper fraction.
In this case:
- 40% becomes 0.4
- Then, solving the proportion X30=0.4\frac{X}{30} = 0.430X=0.4, you isolate X by multiplying both sides by 30
- The result is that X equals 12
You can double-check this by plugging 12 back into the original fraction: 1230=0.4\frac{12}{30} = 0.43012=0.4
That confirms our solution. This method works for any similar problem involving percent-to-fraction conversions.
