simplify 16/44
Understand the Problem
The question is asking to simplify the fraction 16/44 to its lowest terms. This involves finding the greatest common divisor (GCD) of both numbers and dividing both the numerator and the denominator by this number.
Answer
The simplified fraction is \( \frac{4}{11} \).
Answer for screen readers
The simplified fraction is ( \frac{4}{11} ).
Steps to Solve
- Find the GCD of the numerator and the denominator To simplify the fraction, we need to find the greatest common divisor (GCD) of 16 and 44. The GCD is the largest number that divides both numbers without leaving a remainder.
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 44 are: 1, 2, 4, 11, 22, 44
The common factors are 1, 2, and 4. Thus, the GCD is 4.
- Divide both the numerator and the denominator by the GCD Now that we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by 4.
$$ \frac{16 \div 4}{44 \div 4} = \frac{4}{11} $$
- Write the simplified fraction After the simplification, the fraction can be expressed as:
$$ \frac{4}{11} $$
The simplified fraction is ( \frac{4}{11} ).
More Information
When simplifying fractions, always start by finding the GCD to ensure you reach the lowest terms. Simplifying fractions helps in making calculations easier and clearer, especially in further mathematical operations.
Tips
- Forgetting to find the GCD and simply dividing by a smaller number. Make sure to always find the GCD for accuracy.
- Not checking if the fraction can be simplified further after the initial calculation. Always verify that the result is in the lowest terms.
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