Subtract 2/3 - 8/9. Write your answer in simplest form.

Question image

Understand the Problem

The question is asking to subtract two fractions, specifically 2/3 and 8/9, and provide the answer in its simplest form.

Answer

$\frac{-2}{9}$
Answer for screen readers

The answer is $\frac{-2}{9}$.

Steps to Solve

  1. Find a common denominator

To subtract two fractions, we need a common denominator. The denominators here are 3 and 9. The least common denominator (LCD) is 9.

  1. Convert the first fraction

We need to convert the first fraction, $\frac{2}{3}$, to an equivalent fraction with a denominator of 9:

$$ \frac{2}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9} $$

  1. Write the second fraction

The second fraction $\frac{8}{9}$ already has a denominator of 9, so it remains the same.

  1. Subtract the fractions

Now that both fractions have the same denominator, we can subtract them:

$$ \frac{6}{9} - \frac{8}{9} = \frac{6 - 8}{9} = \frac{-2}{9} $$

  1. Simplify the fraction

The fraction $\frac{-2}{9}$ is already in its simplest form.

The answer is $\frac{-2}{9}$.

More Information

The result of the subtraction shows that you end up with a negative fraction, indicating that $\frac{8}{9}$ is greater than $\frac{2}{3}$. This emphasizes the importance of understanding how to manage fractions and their relationships to one another.

Tips

  • Not finding a common denominator before attempting to subtract the fractions.
  • Forgetting to convert both fractions to have the same denominator, leading to incorrect results.

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