Answer :
To solve the problem [tex]\(\frac{18}{20}\)[/tex], we need to express the fraction in both its decimal form and its simplest form.
Step 1: Convert the fraction to a decimal
To convert [tex]\(\frac{18}{20}\)[/tex] to a decimal, divide the numerator by the denominator:
[tex]\[ \frac{18}{20} = 0.9 \][/tex]
So, the decimal form of [tex]\(\frac{18}{20}\)[/tex] is [tex]\(0.9\)[/tex].
Step 2: Simplify the fraction
To simplify the fraction [tex]\(\frac{18}{20}\)[/tex], we need to find the greatest common divisor (GCD) of the numerator and the denominator.
1. Find the GCD of 18 and 20. The factors of 18 are 1, 2, 3, 6, 9, 18. The factors of 20 are 1, 2, 4, 5, 10, 20. The largest common factor is 2.
2. Divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{18 \div 2}{20 \div 2} = \frac{9}{10}
\][/tex]
Hence, the simplest form of [tex]\(\frac{18}{20}\)[/tex] is [tex]\(\frac{9}{10}\)[/tex].
In summary, [tex]\(\frac{18}{20}\)[/tex] is equal to [tex]\(0.9\)[/tex] in decimal form and [tex]\(\frac{9}{10}\)[/tex] in its simplest fractional form.
Step 1: Convert the fraction to a decimal
To convert [tex]\(\frac{18}{20}\)[/tex] to a decimal, divide the numerator by the denominator:
[tex]\[ \frac{18}{20} = 0.9 \][/tex]
So, the decimal form of [tex]\(\frac{18}{20}\)[/tex] is [tex]\(0.9\)[/tex].
Step 2: Simplify the fraction
To simplify the fraction [tex]\(\frac{18}{20}\)[/tex], we need to find the greatest common divisor (GCD) of the numerator and the denominator.
1. Find the GCD of 18 and 20. The factors of 18 are 1, 2, 3, 6, 9, 18. The factors of 20 are 1, 2, 4, 5, 10, 20. The largest common factor is 2.
2. Divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{18 \div 2}{20 \div 2} = \frac{9}{10}
\][/tex]
Hence, the simplest form of [tex]\(\frac{18}{20}\)[/tex] is [tex]\(\frac{9}{10}\)[/tex].
In summary, [tex]\(\frac{18}{20}\)[/tex] is equal to [tex]\(0.9\)[/tex] in decimal form and [tex]\(\frac{9}{10}\)[/tex] in its simplest fractional form.
