Question

How do we do it???? And how do we make sure its correct

Answer 1

This is division.  It's easier to divide improper fractions than mixed numbers; let's convert.

$\dfrac{8 \frac 1 4}{1 \frac 3 4} = \dfrac{ \frac{33}{4} }{\frac 7 4} = \dfrac{33}{7} = 4 \frac 5 7$  Choice F

We check division by multiplication:

$(4 \frac 5 7) \times (1 \frac 3 4) = \dfrac{33}{7} \dfrac{7}{4} = \dfrac{33} 4 = 8 \frac 1 4 \quad\checkmark$