To simplify the fraction [tex]\(\frac{45}{56}\)[/tex], we need to follow these steps:
1. Identify the greatest common divisor (GCD) of the numerator (45) and the denominator (56).
2. Divide both the numerator and the denominator by their GCD to simplify the fraction.
Step-by-Step Solution:
1. Identify the Greatest Common Divisor (GCD):
The GCD of 45 and 56 is 1. This means that 45 and 56 have no common factors other than 1.
2. Simplify the Fraction:
Since the GCD is 1, we can divide both the numerator and the denominator by 1 to get the simplified form of the fraction.
[tex]\[
\frac{45}{56} = \frac{45 \div 1}{56 \div 1} = \frac{45}{56}
\][/tex]
Conclusion:
The fraction [tex]\(\frac{45}{56}\)[/tex] is already in its simplest form because the greatest common divisor of 45 and 56 is 1. Therefore, [tex]\(\frac{45}{56}\)[/tex] remains [tex]\(\frac{45}{56}\)[/tex] when simplified.
