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Chapter 1: Problem 37

Simplify each fraction by reducing it to its lowest terms. $$\frac{44}{50}$$

Short Answer

Expert verified
The fraction \( \frac{44}{50} \) simplifies to \( \frac{22}{25} \).

Step by step solution

01

Identify the Greatest Common Divisor (GCD)

The task is to first identify the greatest number that divides both 44 and 50 evenly. Upon inspection, it's clear that 2 divides both numbers. However, it's also apparent that 6, for instance, does not divide both numbers. So, we keep looking for numbers greater than 2 and find that 4 also doesn't divide both. By continuing this process, we'll discover that the largest number that divides both 44 and 50 is actually 2.
02

Divide the numerator and the denominator by the GCD

Now that we know the GCD is 2, we divide both the numerator and the denominator of the fraction by 2. This gives us: \(\frac{44/2}{50/2} \) .
03

Perform the division

Next, perform the division in both the numerator and denominator. This results in the fraction: \(\frac{22}{25} \) .

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