Problem 38 - Introductory Algebra for College Students

Question

Simplify each fraction by reducing it to its lowest terms. $$\frac{38}{50}$$

Step-by-Step Solution

Answer

The simplified form of the fraction \( \frac{38}{50} \) is \( \frac{19}{25} \)

Step 1: Find the GCD

First, find the greatest common divisor (GCD) of 38 and 50. The GCD of 38 and 50 is 2.

Step 2: Divide the Numerator and Denominator by the GCD

Next, divide both the numerator (38) and the denominator (50) by the GCD (2). This gives \( \frac{38}{2} = 19 \) and \( \frac{50}{2} = 25 \).

Step 3: Write the Simplified Fraction

Finally, write the simplified fraction which is \( \frac{19}{25} \).