Final answer:
To simplify fractions, divide the numerator and denominator by their greatest common divisor (GCD). For example, 49/84 simplifies to 7/12, 24x/6x simplifies to 4, and 6y/18yz simplifies to 1/3z.
Step-by-step explanation:
To simplify fractions, you need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it. Let's look at each fraction provided:
A)49/84: Both numbers are divisible by 7. Dividing the numerator and denominator by 7 gives us 7/12.
B)24x/6x: Since both terms have 'x' and are divisible by 6, we can simplify this to 4. (Remember that 24x/6x = (24/6)(x/x) = 4)
C)6y/18yz: Both terms are divisible by 6. Canceling out the 6 and the 'y' (since 'y' is in both the numerator and the denominator), we are left with 1/3z.
In all cases, the fraction is simplified by dividing by common factors that appear in both the numerator and denominator until no more common factors remain.