2/3 - 5/6. Write your answer in simplest form.
Understand the Problem
The question is asking us to calculate the subtraction of two fractions: 2/3 and 5/6, and express the result in its simplest form.
Answer
The result of \( \frac{2}{3} - \frac{5}{6} \) is \( \frac{-1}{6} \).
Answer for screen readers
The final answer is ( \frac{-1}{6} ).
Steps to Solve
- Find a common denominator
To subtract the two fractions, we need a common denominator. The denominators are 3 and 6. The least common denominator (LCD) is 6.
- Convert the first fraction
Convert ( \frac{2}{3} ) to a fraction with a denominator of 6. Multiply the numerator and denominator by 2:
$$ \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} $$
- Subtract the fractions
Now that both fractions have the same denominator, we can subtract them:
$$ \frac{4}{6} - \frac{5}{6} = \frac{4 - 5}{6} = \frac{-1}{6} $$
- Express in simplest form
The result ( \frac{-1}{6} ) is already in its simplest form.
The final answer is ( \frac{-1}{6} ).
More Information
Subtracting fractions requires a common denominator. In this case, we converted ( \frac{2}{3} ) to ( \frac{4}{6} ), allowing us to perform the subtraction easily. The negative result indicates ( \frac{5}{6} ) is greater than ( \frac{2}{3} ).
Tips
- Not finding a common denominator can lead to incorrect subtraction.
- Failing to simplify the result further, if applicable.
