How do i solve for 3 1/2 divided by 2/5?

Question

What are the steps i have to take

Answer 1

write 3 1/2 as an improper fraction (numerator>denominator) 3 1/2 = 7/2

7/2 divided by 2/5 is the same as 7/2(5/2) = 35/4 = 8 3/4

division by a fraction is the same as multiplication by the inverse of the fraction. Just flip it upside down 2/5 to 5/2.

or you could work the problem as decimals

3 1/2 = 3.5

2/5 = .4

divide 3.5 by .4 using a calculator or long division

3.5/.4 = 8.75 = 8 3/4