Which of the following fractions is equal to 0.06

Which of the following fractions is equal to 0.06 a. 1/6 b. 1/60 c. 6/10 d. 6/100

The Correct Answer and Explanation is:

The correct answer is d. 6/100.

Explanation:

To convert a decimal like 0.06 into a fraction, you need to understand its place value. The decimal 0.06 has a 6 in the hundredths place, meaning it can be written as:

[
0.06 = \frac{6}{100}
]

This is because the number 6 is in the hundredths place, which represents 6 parts out of 100. Therefore, 0.06 can be directly expressed as the fraction 6/100.

Now, let’s break down each of the options to confirm why 6/100 is the correct answer and why the other options are not equivalent to 0.06.

• Option a: 1/6
  • To convert 1/6 into a decimal, divide 1 by 6:
    [
    \frac{1}{6} = 0.1667\ldots
    ]
  • This is approximately 0.167, not 0.06. Hence, 1/6 does not equal 0.06.
• Option b: 1/60
  • To convert 1/60 into a decimal, divide 1 by 60:
    [
    \frac{1}{60} = 0.01666\ldots
    ]
  • This equals 0.0167, which is much smaller than 0.06. Therefore, 1/60 is not equal to 0.06.
• Option c: 6/10
  • To convert 6/10 into a decimal, divide 6 by 10:
    [
    \frac{6}{10} = 0.6
    ]
  • This equals 0.6, which is larger than 0.06. Therefore, 6/10 is not equal to 0.06.
• Option d: 6/100
  • To convert 6/100 into a decimal, divide 6 by 100:
    [
    \frac{6}{100} = 0.06
    ]
  • This equals exactly 0.06, making 6/100 the correct answer.

Thus, 6/100 is the fraction that is equivalent to 0.06.