Simplify 2.85*(35pi)/36

Problem

2.85⋅(35*π)/36

Solution

1. Convert the decimal 2.85 into a fraction to make simplification easier.

2.85=285/100

2. Simplify the fraction 285/100 by dividing both the numerator and the denominator by their greatest common divisor, which is 5

285/100=57/20

3. Substitute the fraction back into the original expression.

57/20⋅(35*π)/36

4. Multiply the numerators and the denominators.

(57⋅35*π)/(20⋅36)

5. Simplify the expression by canceling common factors. Divide 57 and 36 by 3

(19⋅35*π)/(20⋅12)

6. Simplify further by dividing 35 and 20 by 5

(19⋅7*π)/(4⋅12)

7. Calculate the final product in the numerator and the denominator.

(133*π)/48

Final Answer

2.85⋅(35*π)/36=(133*π)/48

Want more problems? Check here!