20/64 simplified
Understand the Problem
The question is asking for the simplification of the fraction 20/64, which involves finding the greatest common divisor (GCD) between the numerator and the denominator to reduce the fraction to its simplest form.
Answer
The simplified form of the fraction \( \frac{20}{64} \) is \( \frac{5}{16} \).
Answer for screen readers
The simplified form of the fraction ( \frac{20}{64} ) is ( \frac{5}{16} ).
Steps to Solve
- Find the GCD of 20 and 64
To simplify the fraction ( \frac{20}{64} ), we first need to find the greatest common divisor (GCD) of the numerator (20) and the denominator (64).
The factors of 20 are: 1, 2, 4, 5, 10, 20.
The factors of 64 are: 1, 2, 4, 8, 16, 32, 64.
The greatest common factor between them is 4.
- Divide the numerator and denominator by the GCD
Now, we simplify the fraction by dividing both the numerator and the denominator by the GCD, which is 4.
So,
$$ \frac{20 \div 4}{64 \div 4} = \frac{5}{16} $$
- State the simplified fraction
The simplified form of the fraction ( \frac{20}{64} ) is ( \frac{5}{16} ).
The simplified form of the fraction ( \frac{20}{64} ) is ( \frac{5}{16} ).
More Information
When simplifying fractions, finding the GCD helps us reduce fractions to their simplest form. This can be useful in various applications, such as cooking, building, and other real-life calculations.
Tips
- Forgetting to find the GCD and directly simplifying the fraction could lead to incorrect answers. Always ensure to identify the GCD first.
- Dividing only one part of the fraction instead of both can also lead to mistakes. Remember to simplify both the numerator and the denominator.
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