Simplify 9/63.
Understand the Problem
The question is asking us to simplify the fraction 9/63, which involves finding the greatest common divisor and dividing both the numerator and the denominator by that number.
Answer
The simplified form of the fraction is $\frac{1}{7}$.
Answer for screen readers
The simplified form of the fraction $\frac{9}{63}$ is $\frac{1}{7}$.
Steps to Solve
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Identify the Fraction We have the fraction $\frac{9}{63}$.
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Find the Greatest Common Divisor (GCD) To simplify the fraction, we need to find the GCD of 9 and 63. The factors of 9 are 1, 3, and 9. The factors of 63 are 1, 3, 7, 9, 21, and 63. The largest common factor is 9.
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Divide the Numerator and Denominator by the GCD Now we divide both the numerator and denominator by 9.
$$ \frac{9 \div 9}{63 \div 9} = \frac{1}{7} $$
- Write the Simplified Fraction The simplified form of $\frac{9}{63}$ is $\frac{1}{7}$.
The simplified form of the fraction $\frac{9}{63}$ is $\frac{1}{7}$.
More Information
Simplifying fractions is an essential skill in math that can make calculations easier. The GCD helps in reducing fractions to their simplest form, making them more manageable for further calculations.
Tips
- Not finding the GCD correctly, leading to incorrect simplification. Always list the factors to ensure you find the largest one.
- Forgetting to divide both the numerator and denominator by the GCD, resulting in an incorrect representation of the fraction.
