The decimal .67 can be written as which fraction?
A) 67 10,000
B) 67 1,000
C) 67 100
D) 67 10
The correct answer and explanation is:
The correct answer is C) 67/100.
Here’s an explanation:
The decimal 0.67 can be written as a fraction by recognizing its place value. In this case, the decimal 0.67 means 67 hundredths. The decimal point separates the whole number part from the fractional part. The fractional part, 67, is in the hundredths place, which means it is divided by 100.
To express 0.67 as a fraction, we write it as: 0.67=671000.67 = \frac{67}{100}
This is because the number 67 is in the hundredths place. Since the denominator represents the place value (hundredths), the denominator of the fraction becomes 100. Therefore, 0.67 can be written as the fraction 67/100.
Let’s quickly break it down with other options for clarity:
- A) 67/10,000 is incorrect because 0.67 is not equivalent to ten-thousandths, but rather hundredths.
- B) 67/1,000 is also incorrect. This would represent 0.067, not 0.67.
- D) 67/10 would be incorrect because this fraction represents 6.7, not 0.67.
So, the correct and simplest way to express the decimal 0.67 as a fraction is 67/100.