7/9 - 2/6 = ?
Understand the Problem
The question is asking to subtract two fractions, 7/9 and 2/6. To solve this, we need to find a common denominator, convert both fractions to equivalent fractions with that denominator, and then subtract the numerators.
Answer
$\frac{4}{9}$
Answer for screen readers
$ \frac{4}{9} $
Steps to Solve
- Find the least common denominator (LCD)
The denominators are 9 and 6. List the multiples of each: Multiples of 9: 9, 18, 27, 36,... Multiples of 6: 6, 12, 18, 24,... The least common multiple is 18, so the LCD is 18.
- Convert 7/9 to an equivalent fraction with a denominator of 18
To convert 7/9 to an equivalent fraction with a denominator of 18, we multiply both the numerator and the denominator by 2: $ \frac{7}{9} \times \frac{2}{2} = \frac{14}{18} $
- Convert 2/6 to an equivalent fraction with a denominator of 18
To convert 2/6 to an equivalent fraction with a denominator of 18, we multiply both the numerator and the denominator by 3: $ \frac{2}{6} \times \frac{3}{3} = \frac{6}{18} $
- Subtract the fractions
Subtract the numerators of the equivalent fractions: $ \frac{14}{18} - \frac{6}{18} = \frac{14-6}{18} = \frac{8}{18} $
- Simplify the result
Simplify the fraction 8/18 by dividing both the numerator and the denominator by their greatest common divisor, which is 2: $ \frac{8}{18} = \frac{8 \div 2}{18 \div 2} = \frac{4}{9} $
$ \frac{4}{9} $
More Information
The result of subtracting $\frac{2}{6}$ from $\frac{7}{9}$ is $\frac{4}{9}$.
Tips
A common mistake is forgetting to find a common denominator before subtracting the fractions. It's also easy to make arithmetic errors when finding the least common multiple or when simplifying the fraction. Another mistake is not simplifying the final answer to its lowest terms.
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