Final answer:
To simplify the fraction 42/63, divide both numbers by their greatest common factor (GCF). The GCF of 42 and 63 is 21. After dividing both numbers by 21, the resulting fraction is 2/3.
Step-by-step explanation:
To simplify the fraction 42/63, we need to find the greatest common factor (GCF) of the numerator and the denominator. The GCF is the largest number that divides evenly into both numbers. For 42 and 63, the GCF is 21. Divide both numbers by 21 to simplify the fraction: 42/63 = 2/3. Therefore, 42/63 in the simplest form is 2/3.