Final answer:
1.27 can be written as the fraction 127/100. This is because 1.27 can be rewritten as 127 over 1 and then multiplied by 100/100 to remove the decimal, resulting in the simplest form of 127/100.
Step-by-step explanation:
To write 1.27 as a fraction, we recognize that 1.27 is the same as 1.27 over 1, or 1.27/1. However, since we want a fraction in simplest form, we need to express the decimal as a ratio of two integers. We do this by considering the place value of the furthest right digit in the decimal, which is in the hundredths place. So, we can write 1.27 as 127/100 to move the decimal point two places to the right, making 1.27 an integer. Now we have a fraction, 127/100, but we need to check if it can be simplified.
Looking for the greatest common factor of 127 and 100, we can see that 127 is a prime number and thus has no factors other than 1 and 127. As 100 does not share 127 as a factor, we know that our fraction is already in its simplest form. Therefore, 1.27 as a fraction is simply 127/100.