What is 52/36 in lowest terms?
Understand the Problem
The question involves simplifying the fraction 52/36 to its lowest terms. This requires factoring both the numerator and denominator to find the greatest common divisor (GCD) and reduce the fraction accordingly.
Answer
The simplified form of $ \frac{52}{36} $ is $ \frac{13}{9} $.
Answer for screen readers
The fraction $ \frac{52}{36} $ simplifies to $ \frac{13}{9} $.
Steps to Solve
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Factor the Numerator and Denominator
Begin by factoring both the numerator (52) and the denominator (36).- The factors of 52 are: $1, 2, 4, 13, 26, 52$
- The factors of 36 are: $1, 2, 3, 4, 6, 9, 12, 18, 36$
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Find the Greatest Common Divisor (GCD)
Identify the largest number that divides both 52 and 36.- The common factors are: $1, 2, 4$
- Thus, the GCD is $4$.
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Divide the Numerator and Denominator by the GCD
To simplify the fraction, divide both the numerator and denominator by the GCD.$$ \frac{52 \div 4}{36 \div 4} = \frac{13}{9} $$
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Write the Fraction in Lowest Terms
The simplified fraction is $ \frac{13}{9} $.
The fraction $ \frac{52}{36} $ simplifies to $ \frac{13}{9} $.
More Information
The fraction $ \frac{13}{9} $ is in its lowest terms, meaning that there are no common factors between 13 and 9 other than 1. This fraction is also an improper fraction, as 13 is greater than 9.
Tips
- Not factoring correctly: Ensure to list all factors to find the GCD accurately.
- Forgetting to divide both the numerator and denominator by the GCD, which would prevent reaching the simplest form.
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