Question

2 3/4 divide 2/5 = . Simplify the answer and write it as a mixed number.

Answer 1

In dividing a mixed number by a proper fraction, here are the steps:

1. Convert the mixed number to an improper fraction first.

`2(3)/(4)=((2*4)+3)/(4)=(11)/(4)`

2. Get the reciprocal of the divisor or the proper fraction.

`(2)/(5)\rightarrow(5)/(2)`

3. Change the operation from division to multiplication.

`(11)/(4)*(5)/(2)`

4. Multiply the two numerators and the two denominators.

`(11)/(4)*(5)/(2)=(55)/(8)`

5. Simplify the answer. In this case, the answer is an improper fraction. Let's convert it to a mixed number and simplify.

`(55)/(8)=6(7)/(8)`

The answer is 6 7/8.