28/42 simplified
Understand the Problem
The question is asking to simplify the fraction 28/42. To do this, we will find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it.
Answer
The simplified fraction is \( \frac{2}{3} \).
Answer for screen readers
The simplified form of the fraction ( \frac{28}{42} ) is ( \frac{2}{3} ).
Steps to Solve
- Find the GCD of 28 and 42
To simplify the fraction, we first need to find the greatest common divisor (GCD) of the numbers 28 and 42. The GCD is the largest number that divides both numbers evenly.
The factors of 28 are: 1, 2, 4, 7, 14, 28
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The largest common factor is 14. Therefore, the GCD is 14.
- Divide the numerator and denominator by the GCD
Now that we have found the GCD, we will divide both the numerator and the denominator by 14.
For the numerator:
$$ \frac{28}{14} = 2 $$
For the denominator:
$$ \frac{42}{14} = 3 $$
- Write the simplified fraction
Now we can express the simplified fraction using the results from the division. The simplified form of the fraction is:
$$ \frac{2}{3} $$
The simplified form of the fraction ( \frac{28}{42} ) is ( \frac{2}{3} ).
More Information
The greatest common divisor is a fundamental concept in simplifying fractions. Knowing how to find it allows us to reduce fractions to their simplest form.
Tips
- Forgetting to find the GCD: Always ensure you find the GCD before simplifying.
- Incorrect division: Double-check your calculations when dividing the numerator and the denominator.
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