College

Write the ratio in fractional notation in lowest terms.

The ratio of 22 inches to 24 inches is [tex]\(\frac{22}{24}\)[/tex].

Answer :

To write the ratio of 22 inches to 24 inches in fractional notation and simplify it to its lowest terms, follow these steps:

1. Write as a fraction: First, express the ratio as a fraction. In this case, it is [tex]\(\frac{22}{24}\)[/tex].

2. Find the greatest common divisor (GCD): To simplify the fraction, find the greatest common divisor of the numerator (22) and the denominator (24). The GCD of 22 and 24 is 2.

3. Simplify the fraction: Divide both the numerator and the denominator by their GCD.

[tex]\[
\frac{22}{24} = \frac{22 \div 2}{24 \div 2} = \frac{11}{12}
\][/tex]

4. Final result: The ratio of 22 inches to 24 inches, written in fractional notation and simplified to its lowest terms, is [tex]\(\frac{11}{12}\)[/tex].