Question

Convert the decimal expansion of the integers 1/4, 1/2, and 3/4 to fractions. Which of the following expressions correctly represents the conversion?

a) 0.25, 0.50, 0.75
b) 1/4, 2/4, 3/4
c) 0.1, 0.2, 0.3
d) 1/5, 1/2, 3/5

Answer 1

To convert the decimal expansion of the fractions 1/4, 1/2, and 3/4 to fractions, you need to consider the place value of the decimal. Option b) 1/4, 2/4, 3/4 correctly represents the conversion.

Step-by-step explanation:

To convert the decimal expansion of the fractions 1/4, 1/2, and 3/4 to fractions, we look at the place value of the decimal. In 0.25, the 5 is in the hundredths place, so we can write it as 25/100, which can be simplified to 1/4. In 0.50, the 0 is in the tenths place and the 5 is in the hundredths place, so we can write it as 5/10 or 1/2. In 0.75, the 7 is in the tenths place and the 5 is in the hundredths place, so we can write it as 75/100, which can be simplified to 3/4. Therefore, option b) 1/4, 2/4, 3/4 correctly represents the conversion.