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Chapter 1: Problem 32

Simplify each fraction by reducing it to its lowest terms. $$\frac{18}{45}$$

Short Answer

Expert verified
The simplified form of the fraction \(\frac{18}{45}\) is \(\frac{2}{5}\).

Step by step solution

01

Identify the numbers

The given fraction is \(\frac{18}{45}\). Here, 18 is the numerator and 45 is the denominator.
02

Find the Greatest Common Divisor (GCD)

The GCD of 18 and 45 is 9. The GCD is the largest number that divides both 18 and 45 without a remainder.
03

Divide the numerator and the denominator by the GCD

Divide the numerator (18) and the denominator (45) by the GCD (9). So we get, \(\frac{18 梅 9}{45 梅 9} = \frac{2}{5}\).
04

Write the simplified fraction

The simplified or the reduced form of the given fraction is \(\frac{2}{5}\). Hence, \(\frac{18}{45}\) can be simplified to \(\frac{2}{5}\).

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