Question

Simplify the fraction. $$\frac{36}{48}$$

Short answer

The simplified form of the fraction \( \frac{36}{48} \) is \( \frac{3}{4} \)

Step-by-step solution

Identify the Numerator and the Denominator

The numerator of the fraction is 36 and the denominator of the fraction is 48.

Find the Greatest Common Divisor (GCD)

The GCD of 36 and 48 is the largest number that divides both of them without leaving a remainder. You can use Euclidean algorithm or prime factorization method to find the GCD. In this case, the GCD of 36 and 48 is 12.

Simplify the Fraction

Divide both the numerator and the denominator by their GCD. So, 36 divided by 12 equals 3 and 48 divided by 12 equals 4.