A student simplifies the expression (frac (31)/(2))((1)/(4))-2.75 using the work shown Step 1: (31)/(2)div (1)/(4)-2.75 Step 2: 3.875-2.75 Step 3: 1.125 Is the student's work correct? Use the drop-down menus to explain. The student square The student square The correct value of the expression is square The student's work is! square v

The student's work is correct.<br /><br />The student correctly simplified the expression by following the order of operations. They first divided $\frac{31}{2}$ by $\frac{1}{4}$, which is equivalent to multiplying $\frac{31}{2}$ by the reciprocal of $\frac{1}{4}$, resulting in $\frac{31}{2} \times 4 = 62$. Then, they subtracted 2.75 from 62, which gives the correct value of 59.25.<br /><br />Therefore, the correct value of the expression is 59.25, and the student's work is correct.