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

  1. 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.

  1. Divide the numerator and the denominator by the GCD

Divide both 10 and 16 by their GCD (which is 2):

$$ \frac{10}{16} = \frac{10 \div 2}{16 \div 2} $$

  1. 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.

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