2/3 - 5/6. Write your answer in simplest form.

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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

  1. 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.

  1. Convert the first fraction

Convert ( \frac{2}{3} ) to a fraction with a denominator of 6. Multiply the numerator and denominator by 2:

$$ \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} $$

  1. Subtract the fractions

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

$$ \frac{4}{6} - \frac{5}{6} = \frac{4 - 5}{6} = \frac{-1}{6} $$

  1. 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.
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