20/15 in simplest form
Understand the Problem
The question is asking to simplify the fraction 20/15 to its simplest form, which involves finding the greatest common divisor (GCD) and dividing both the numerator and denominator by it.
Answer
The simplified form of the fraction \( \frac{20}{15} \) is \( \frac{4}{3} \).
Answer for screen readers
The simplified form of the fraction ( \frac{20}{15} ) is ( \frac{4}{3} ).
Steps to Solve
- Identify the GCD
To simplify the fraction ( \frac{20}{15} ), we need to find the greatest common divisor (GCD) of the numerator (20) and the denominator (15).
- Calculate GCD of 20 and 15
The factors of 20 are:
- 1, 2, 4, 5, 10, 20
The factors of 15 are:
- 1, 3, 5, 15
The greatest common factor is 5.
- Divide by GCD
Now, divide both the numerator and the denominator by their GCD (which is 5):
For the numerator: $$ 20 \div 5 = 4 $$
For the denominator: $$ 15 \div 5 = 3 $$
- Write the simplified fraction
Now, rewrite the fraction with the new numerator and denominator: $$ \frac{20}{15} = \frac{4}{3} $$
The simplified form of the fraction ( \frac{20}{15} ) is ( \frac{4}{3} ).
More Information
Simplifying fractions is a common task in mathematics that helps to make numbers easier to work with. The concept of GCD is essential in finding the simplest form of any fraction.
Tips
- Failing to identify the correct GCD can lead to incorrect simplification.
- Not dividing both the numerator and denominator by the GCD.
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