To reduce the fraction [tex]\( \frac{35}{49} \)[/tex] to its lowest terms, we follow these steps:
1. Identify the Greatest Common Divisor (GCD): The GCD of the numerator (35) and the denominator (49) is the largest number that can divide both of them without leaving a remainder. In this case, the GCD is 7.
2. Divide the numerator and the denominator by their GCD:
- Numerator: [tex]\( 35 \div 7 = 5 \)[/tex]
- Denominator: [tex]\( 49 \div 7 = 7 \)[/tex]
3. Express the fraction in the lowest terms: After dividing the numerator and the denominator by the GCD, we get the fraction:
[tex]\[
\frac{35}{49} = \frac{5}{7}
\][/tex]
So, the fraction [tex]\( \frac{35}{49} \)[/tex] reduces to [tex]\( \frac{5}{7} \)[/tex] in its simplest form.
