Simplify (18y^2)/(60y^5)

Problem

(18*y2)/(60*y5)

Solution

1. Identify the numerical coefficients and the variable parts of the fraction.

2. Simplify the numerical coefficients by finding the greatest common divisor of 18 and 60 which is 6

3. Divide both 18 and 60 by 6

18/60=3/10

4. Apply the quotient rule for exponents, which states that (ya)/(yb)=y(a−b) or move the smaller power to the denominator.

(y2)/(y5)=1/(y(5−2))

5. Subtract the exponents in the denominator.

1/(y(5−2))=1/(y3)

6. Combine the simplified numerical fraction and the simplified variable fraction.

Final Answer

(18*y2)/(60*y5)=3/(10*y3)

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