Question

Evaluate the expression and write your answer as a fraction in simplest form:
12/11 − 4/9.

Answer 1

To evaluate the expression 12/11 - 4/9, find a common denominator, which is 99, and then subtract the equivalent fractions. The final answer in its simplest form is 64/99.

Step-by-step explanation:

To evaluate the expression 12/11 − 4/9, we need to find a common denominator for the fractions. The common denominator in this case would be the least common multiple (LCM) of 11 and 9, which is 99. We then convert each fraction to an equivalent fraction with the common denominator.

For the first fraction:

• 12/11 becomes (12×9)/(11×9) = 108/99.

For the second fraction:

• 4/9 becomes (4×11)/(9×11) = 44/99.

Now, we subtract the second fraction from the first:

108/99 − 44/99 = (108 − 44)/99 = 64/99.

This fraction is already in its simplest form, as there are no common factors between the numerator and the denominator other than 1.