simplify 4/52
Understand the Problem
The question is asking us to simplify the fraction 4/52 to its lowest terms. This involves finding the greatest common divisor (GCD) of the numerator and denominator.
Answer
\frac{1}{13}
Answer for screen readers
The final answer is \frac{1}{13}
Steps to Solve
- Find the GCD of the numerator and denominator
To simplify the fraction, first find the greatest common divisor (GCD) of 4 and 52.
- Divide both the numerator and the denominator by the GCD
Once the GCD is found, divide both the numerator and denominator by this number to reduce the fraction to its simplest form.
For the given fraction, 4/52:
The factors of 4 are 1, 2, 4.
The factors of 52 are 1, 2, 4, 13, 26, 52.
The greatest common factor is 4.
So, divide both the numerator and the denominator by 4.
$$\frac{4}{52} = \frac{4\div4}{52 \div 4} = \frac{1}{13}$$
- Write the simplified fraction
The simplified form of 4/52 is 1/13.
The final answer is \frac{1}{13}
More Information
Simplifying fractions helps in easier calculation and understanding of proportion.
Tips
A common mistake is not correctly identifying the GCD. Double-check the factors of both numerator and denominator to avoid this error.
