Question

Divide 5/3 by 1/4


A.3/20
B.5/12
C.4/9
D. 2 2/5

Answer 1

`(5)/(3):(1)/(4)=(5)/(3)\cdot(4)/(1)=(5\cdot4)/(3\cdot1)=(20)/(3)=(18+2)/(3)=\boxed{6(2)/(3)}\\\\from\ comment:\\\\(3)/(5):(1)/(4)=(3)/(5)\cdot(4)/(1)=(3\cdot4)/(5\cdot1)=(12)/(5)=(10+2)/(5)=\boxed{2(2)/(5)}\leftarrow answer\ \boxed{\boxed{D}}`

Answer 2

We flip the 2nd fraction and multiply.

5/3 * 4/1 = (5 * 4)/(3 * 1) = 20/3 = 6 2/3

So the correct choice should be 'none of the above' unless you made a mistake in your question.