To write the fraction [tex]\(\frac{15}{18}\)[/tex] in its simplest form, follow these steps:
1. Identify the Greatest Common Divisor (GCD):
- The first step is to determine the greatest common divisor (GCD) of the numerator (15) and the denominator (18). The GCD of 15 and 18 is 3.
2. Divide Both Numerator and Denominator by the GCD:
- To simplify the fraction, divide the numerator (15) and the denominator (18) by their GCD (3).
- Simplified numerator: [tex]\( 15 \div 3 = 5 \)[/tex]
- Simplified denominator: [tex]\( 18 \div 3 = 6 \)[/tex]
3. Resulting Simplified Fraction:
- After dividing, the fraction [tex]\(\frac{15}{18}\)[/tex] simplifies to [tex]\(\frac{5}{6}\)[/tex].
So, the fraction [tex]\(\frac{15}{18}\)[/tex] in simplest form is [tex]\(\frac{5}{6}\)[/tex].
Therefore:
[tex]$
\frac{15}{18} = \frac{5}{6}
$[/tex]
