Answer:
-11/18
Explanation:
To solve the expression -4/9 - 1/6, we need to find a common denominator for the fractions. The common denominator is the smallest multiple that both denominators, 9 and 6, can divide into evenly. In this case, the common denominator is 18.
To convert -4/9 to an equivalent fraction with a denominator of 18, we multiply both the numerator and denominator by 2:
-4/9 * 2/2 = -8/18
To convert 1/6 to an equivalent fraction with a denominator of 18, we multiply both the numerator and denominator by 3:
1/6 * 3/3 = 3/18
Now that both fractions have a common denominator of 18, we can subtract them:
-8/18 - 3/18 = -11/18
Therefore, the solution to the expression -4/9 - 1/6 is -11/18.
Now, let's move on to some practice problems to reinforce your understanding.
Practice problem 1:
Simplify the expression 3/4 - 1/2.
Practice problem 2:
Evaluate the expression 5/6 - 2/3.
Practice problem 3:
Solve the expression 7/8 - 3/4.
Take your time to solve these problems independently, and once you're done, feel free to ask for guidance or submit your answers for grading.