To make an equivalent fraction, we need to simplify the given fraction [tex]\(\frac{35}{42}\)[/tex].
1. Identify the Greatest Common Divisor (GCD):
First, we need to find the greatest common divisor (GCD) of the numerator (35) and the denominator (42). This is the largest number by which both the numerator and the denominator can be divided.
2. Divide by the GCD:
Once we have the GCD, we will divide both the numerator and the denominator by it to get the simplified fraction.
Let’s go through these steps:
- The GCD of 35 and 42 is 7.
Now, we divide both the numerator and the denominator by 7:
[tex]\[
\frac{35 \div 7}{42 \div 7} = \frac{5}{6}
\][/tex]
Therefore, the simplified form of the fraction [tex]\(\frac{35}{42}\)[/tex] is [tex]\(\frac{5}{6}\)[/tex].
So, the equivalent fraction is [tex]\(\frac{5}{6}\)[/tex].
