Problem 33 - Introductory Algebra for College Students

Question

Simplify each fraction by reducing it to its lowest terms. $$\frac{35}{50}$$

Step-by-Step Solution

Answer

The fraction \(\frac{35}{50}\) simplifies to \(\frac{7}{10}\) in its lowest terms.

Step 1: Factorize the Numerator and the Denominator

Factorize 35 and 50:35 can be factorized into 5 x 7. 50 can be factorized into 2 x 5 x 5.

Step 2: Cancel Out Common Factors

From the factorization, we observe that 5 is a common factor between the numerator and the denominator.So we can cancel out 5:\(\frac{5 * 7}{2 * 5 * 5}\) simplifies to \(\frac{7}{2 * 5}\)

Step 3: Simplify the Fraction

Perform the multiplication in the denominator:\(\frac{7}{2 * 5}\) simplifies to \(\frac{7}{10}\)