10/16 simplified
Understand the Problem
The question is asking to simplify the fraction 10/16 by finding the greatest common divisor of the numerator and the denominator, and then dividing both by this number to reduce the fraction to its simplest form.
Answer
\( \frac{5}{8} \)
Answer for screen readers
The final answer is ( \frac{5}{8} )
Steps to Solve
- Find the greatest common divisor (GCD) of 10 and 16
To do this, list the factors of each number and find the largest one they have in common:
- Factors of 10: 1, 2, 5, 10
- Factors of 16: 1, 2, 4, 8, 16
The greatest common divisor (GCD) is 2.
- Divide the numerator and the denominator by the GCD
Divide both 10 and 16 by their GCD (which is 2):
$$ \frac{10}{16} = \frac{10 \div 2}{16 \div 2} $$
- Simplify the fraction
Complete the division:
$$ \frac{10 \div 2}{16 \div 2} = \frac{5}{8} $$
The final answer is ( \frac{5}{8} )
More Information
Simplifying fractions can make them easier to work with, especially in further calculations or comparisons.
Tips
A common mistake is not finding the correct greatest common divisor. Ensure you list all the factors of each number accurately.
