Massachusetts Pharmacy Technician License Practice Test

What decimal is equivalent to the fraction 3/4?

1. 0.5

2. 0.75

3. 0.8

4. 0.25

The correct answer is: 0.75

To understand why the decimal 0.75 is equivalent to the fraction 3/4, it's essential to recognize how to convert a fraction into a decimal. The fraction 3/4 signifies that you have 3 parts of a whole that is divided into 4 equal parts. To convert this fraction into a decimal, you can divide the numerator (3) by the denominator (4). Performing this division gives you: 3 ÷ 4 = 0.75 Thus, the fraction 3/4 is represented as 0.75 in decimal form. This value directly corresponds to 75 percent, indicating that 3 out of the 4 total parts are being considered. Understanding this conversion process is crucial in various scenarios, especially in fields such as pharmacy, where precise measurements are critical. The other options do not represent the correct decimal for the fraction 3/4: for example, 0.5 corresponds to 1/2, 0.8 corresponds to 4/5, and 0.25 corresponds to 1/4. Each of these has a different numerator and denominator relationship, thus confirming that they cannot be equivalent to 3/4.