Work out 11/15 - 2/15. Give your answer as a fraction in its simplest form.
Understand the Problem
The question is asking to perform a subtraction operation between the fractions 11/15 and 2/15 and provide the answer in its simplest form.
Answer
The answer is $\frac{3}{5}$.
Answer for screen readers
The answer is $\frac{3}{5}$.
Steps to Solve
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Identify the fractions to subtract
The two fractions to work with are $\frac{11}{15}$ and $\frac{2}{15}$. -
Ensure the denominators are the same
Both fractions have the same denominator of 15, which makes subtraction straightforward. -
Subtract the numerators
Subtract the numerator of the second fraction from the numerator of the first:
$$ 11 - 2 = 9 $$ -
Write the new fraction
Now, place the result over the common denominator:
$$ \frac{9}{15} $$ -
Simplify the fraction
To simplify, find the greatest common divisor (GCD) of 9 and 15, which is 3. Divide both the numerator and denominator by 3:
$$ \frac{9 \div 3}{15 \div 3} = \frac{3}{5} $$
The answer is $\frac{3}{5}$.
More Information
The result $\frac{3}{5}$ represents the simplified form of the original subtraction of the two fractions. Simplifying fractions helps in comparing and performing further mathematical operations efficiently.
Tips
- Not having a common denominator: In this case, both fractions already had a common denominator, which simplified the process.
- Failing to simplify the fraction: It's important to always check if the resulting fraction can be simplified further.
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