Work out 14/15 - 8/15. Give your answer as a fraction in its simplest form.
Understand the Problem
The question is asking us to subtract the two fractions 14/15 and 8/15 and express the result in its simplest form.
Answer
The answer is $\frac{2}{5}$.
Answer for screen readers
The simplified answer is $\frac{2}{5}$.
Steps to Solve
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Identify the fractions
We have two fractions to subtract: $\frac{14}{15}$ and $\frac{8}{15}$. -
Common denominator
Since both fractions already have a common denominator (15), we can proceed with the subtraction directly. -
Subtract the numerators
Subtract the numerators of the fractions: $$ 14 - 8 = 6 $$ The resulting fraction is $\frac{6}{15}$. -
Simplify the fraction
To simplify $\frac{6}{15}$, find the greatest common divisor (GCD) of 6 and 15, which is 3. Divide both the numerator and the denominator by 3: $$ \frac{6 \div 3}{15 \div 3} = \frac{2}{5} $$
The simplified answer is $\frac{2}{5}$.
More Information
The result $\frac{2}{5}$ is the simplest form of the subtraction of the two fractions. When dealing with fractions, it is important to simplify the result to ensure clarity and precision.
Tips
Common mistakes include not finding a common denominator when necessary, or forgetting to simplify the resulting fraction after performing the arithmetic.
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