Question

Donna fed 1/11 of the chickens at a farm. Which decimal is equal to the fraction of chickens Donna fed?

A) 0.09
B) 0.09
C) 0.01
D) 0.01

Answer 1

To find the decimal equivalent of 1/11, divide 1 by 11 to get 0.090909..., which rounds to 0.09 to two decimal places. The correct answer is A) 0.09.

Step-by-step explanation:

To convert the fraction 1/11 to a decimal, we can divide the numerator (1) by the denominator (11). Here's the step-by-step process:

1. Set up the division: 1 ÷ 11.
2. Since 1 is less than 11, we add a decimal point and a zero to 1, making it 10.
3. Divide 10 by 11, which gives us approximately 0.90909090...
4. Knowing that we need to round to the nearest hundredth, we look at the third decimal place which is a 9. Since 9 is greater than 5, we round up the second decimal place, which is also a 9, to become a 0, and increase the first decimal place by one, turning 0.09 into 0.10. Hence, correct rounding to two decimal places gives us the decimal 0.09.

So, the fraction 1/11 is roughly equal to the decimal 0.09. Therefore, the correct answer is option A) 0.09.