## Basic College Mathematics (10th Edition)

estimated : 4$\frac{1}{2}$ exact : 4$\frac{6}{7}$
8$\frac{1}{2}$ $\div$ 1$\frac{3}{4}$ Estimate the answer by rounding the mixed numbers 8$\frac{1}{2}$ round to 9 and 1$\frac{3}{4}$ round to 2 9 $\div$ 2 = 4$\frac{1}{2}$ To find the exact answer, change each mixed number to an improper fraction. 8$\frac{1}{2}$ = $\frac{17}{2}$ 1$\frac{3}{4}$ = $\frac{7}{4}$ Next, use the reciprocal of the second fraction and change division to multiplication. Reciprocal of $\frac{7}{4}$ = $\frac{4}{7}$ $\frac{17}{2}$ * $\frac{4}{7}$ = $\frac{34}{7}$ = 4$\frac{6}{7}$ The exact answer is 4$\frac{6}{7}$ The exact answer is reasonable