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.

$2\frac{3}{4}=\frac{(2\times4)+3}{4}=\frac{11}{4}$

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

$\frac{2}{5}\rightarrow\frac{5}{2}$

3. Change the operation from division to multiplication.

$\frac{11}{4}\times\frac{5}{2}$

4. Multiply the two numerators and the two denominators.

$\frac{11}{4}\times\frac{5}{2}=\frac{55}{8}$

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

$\frac{55}{8}=6\frac{7}{8}$

The answer is 6 7/8.