Question

Write each decimal as a fraction in lowest terms

0.255

Answer 1

To write 0.255 as a fraction in lowest terms, divide the numerator and denominator by their greatest common divisor (GCD).

Step-by-step explanation:

To write the decimal 0.255 as a fraction in lowest terms, we need to consider the place value of each digit. The digit 2 is in the tenths place, the digit 5 is in the hundredths place, and the digit 5 is in the thousandths place. Therefore, we can write 0.255 as 255/1000. To simplify this fraction to lowest terms, we divide both the numerator and denominator by their greatest common divisor (GCD), which is 5. Dividing 255 by 5 gives us 51, and dividing 1000 by 5 gives us 200. Therefore, 0.255 as a fraction in lowest terms is 51/200.

Answer 2

51/200

Step-by-step explanation:

To write a decimal as a fraction, you have to make the decimal the numerator, and put a multiple of ten with that number of zeroes in the denominator:

0.255 = 255/1000

Then we simplify

51/200