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].
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].