1. $\frac{3 \times 2 - 1 + 3}{9 - (6 \times 2 - 5)} = \frac{6 - 1 + 3}{9 - (12 - 5)} = \frac{8}{9 - 7} = \frac{8}{2} = 4$
2. $\frac{8 - 3(5 - 3^2)}{7 - 2 \times 6} = \frac{8 - 3(5 - 9)}{7 - 12} = \frac{8 - 3(-4)}{-5} = \frac{8 + 12}{-5} = \frac{20}{-5} = -4$
3. $\frac{3(-4) + (-5)(-2)}{2^3 - 2 - (-6)} = \frac{-12 + 10}{8 - 2 + 6} = \frac{-2}{12} = -\frac{1}{6}$
4. $\frac{7 + 3(15 + 3 \times 4) + 6 - 2^3}{3(8 - 5)^2} = \frac{7 + 3(15 + 12) + 6 - 8}{3(3)^2} = \frac{7 + 3(27) + 6 - 8}{3 \times 9} = \frac{7 + 81 + 6 - 8}{27} = \frac{86}{27}$
5. $\frac{-4 - 2[3 - (-1)]^2}{3 \times (-4) \div 2 \times (-3)} = \frac{-4 - 2[3 + 1]^2}{-12 \div 2 \times (-3)} = \frac{-4 - 2[4]^2}{-6 \times (-3)} = \frac{-4 - 2(16)}{18} = \frac{-4 - 32}{18} = \frac{-36}{18} = -2$
6. $\frac{5 + (6 - 3)4}{7^2 - 3[4 + (-6)]} = \frac{5 + (3)4}{49 - 3[-2]} = \frac{5 + 12}{49 + 6} = \frac{17}{55}$
Parent Tip: Review the logic above to help your child master the concept of order of operations with fractions worksheet.
