To evaluate the expression shown: we begin by evaluating the numerator: 0.6+2.4(3-0.7×5/7)-7÷3 1/2 re-writing in proper fractions we get: 0.6+2.4(3-0.7×5/7)-7÷7/2 working out the parenthesis we get: 0.6+2.4(3-0.5)-7÷7/2 simplifying the above we get: 0.6+2.4(2.5)-7×2/7 =0.6+6-2 =4.6
working out the denominator we obtain: 5 1/4×4-(5.9-2.7÷9/11)×2 1/2 rewriting in proper fraction we get: 21/4×4-(5.9-2.7÷9/11)×5/2 working out the parenthesis: 21/4×4-(5.9-2.7×11/9)×5/2 =21-(5.9-3.3)×5/2 simplifying gives us: 21-(2.6×5/2) =21-6.5 =14.5 thus putting back the expression we get: 4.6/14.5 =46/145
