Answer :
To simplify the fraction \(\frac{18}{24}\), we will go through the following steps:
### Step 1: Find the Greatest Common Divisor (GCD)
The first step in simplifying a fraction is to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of two numbers is the largest positive integer that divides both of them without leaving a remainder.
For the numbers 18 and 24:
- The GCD of 18 and 24 is 6.
### Step 2: Divide Both the Numerator and the Denominator by the GCD
To simplify the fraction, divide both the numerator and the denominator by their GCD.
- Divide 18 by 6:
[tex]\[ \frac{18}{6} = 3 \][/tex]
- Divide 24 by 6:
[tex]\[ \frac{24}{6} = 4 \][/tex]
### Step 3: Simplify the Fraction
After dividing both the numerator and the denominator by the GCD, we are left with the simplified fraction.
So, \(\frac{18}{24}\) simplifies to \(\frac{3}{4}\).
Thus, the simplified form of the fraction [tex]\(\frac{18}{24}\)[/tex] is [tex]\(\frac{3}{4}\)[/tex].
### Step 1: Find the Greatest Common Divisor (GCD)
The first step in simplifying a fraction is to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of two numbers is the largest positive integer that divides both of them without leaving a remainder.
For the numbers 18 and 24:
- The GCD of 18 and 24 is 6.
### Step 2: Divide Both the Numerator and the Denominator by the GCD
To simplify the fraction, divide both the numerator and the denominator by their GCD.
- Divide 18 by 6:
[tex]\[ \frac{18}{6} = 3 \][/tex]
- Divide 24 by 6:
[tex]\[ \frac{24}{6} = 4 \][/tex]
### Step 3: Simplify the Fraction
After dividing both the numerator and the denominator by the GCD, we are left with the simplified fraction.
So, \(\frac{18}{24}\) simplifies to \(\frac{3}{4}\).
Thus, the simplified form of the fraction [tex]\(\frac{18}{24}\)[/tex] is [tex]\(\frac{3}{4}\)[/tex].
