7/63 simplified
Understand the Problem
The question is asking to simplify the fraction 7/63 to its lowest terms. To do this, we need to find the greatest common divisor (GCD) of the numerator (7) and the denominator (63), and divide both by that number.
Answer
$\frac{1}{9}$
Answer for screen readers
The simplified fraction is $\frac{1}{9}$.
Steps to Solve
- Identify the GCD of the numerator and denominator
We need to find the greatest common divisor (GCD) of 7 and 63. The GCD is the largest number that divides both numbers without leaving a remainder.
- Determine the divisors
The divisors of 7 are: 1, 7.
The divisors of 63 are: 1, 3, 7, 9, 21, 63.
The common divisors are 1 and 7, so the GCD is 7.
- Divide both numerator and denominator by the GCD
Now we simplify the fraction by dividing both the numerator and the denominator by the GCD (7): $$ \frac{7 \div 7}{63 \div 7} = \frac{1}{9} $$
The simplified fraction is $\frac{1}{9}$.
More Information
The fraction $\frac{7}{63}$ simplifies to $\frac{1}{9}$ because 7 is the common factor between the numerator and the denominator. Simplifying fractions is important for better understanding ratios and comparisons.
Tips
- Forgetting to check for the GCD could lead to an incorrect simplification.
- Dividing only one part of the fraction by the GCD rather than both.
