Sure, let's simplify the fraction [tex]\(\frac{45}{91}\)[/tex] to its lowest terms step by step.
### Step 1: Identify the Greatest Common Divisor (GCD)
To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of two numbers is the largest number that divides both of them without leaving a remainder.
For the fraction [tex]\(\frac{45}{91}\)[/tex], the GCD of the numbers 45 and 91 is 1.
### Step 2: Divide the Numerator and Denominator by the GCD
Once we have the GCD, we divide both the numerator and the denominator by this GCD to simplify the fraction.
- The numerator 45 divided by the GCD 1 is:
[tex]\[
\frac{45}{1} = 45
\][/tex]
- The denominator 91 divided by the GCD 1 is:
[tex]\[
\frac{91}{1} = 91
\][/tex]
### Step 3: Write the Simplified Fraction
After dividing both the numerator and the denominator by their GCD, we get the simplified fraction:
[tex]\[
\frac{45}{91}
\][/tex]
Since the GCD was 1, the fraction [tex]\(\frac{45}{91}\)[/tex] is already in its simplest form. Therefore, [tex]\(\frac{45}{91}\)[/tex] cannot be simplified further.
### Conclusion
The fraction [tex]\(\frac{45}{91}\)[/tex] is already in its lowest terms and does not need any further simplification.
So, the simplified form of [tex]\(\frac{45}{91}\)[/tex] is [tex]\(\frac{45}{91}\)[/tex].
