Evaluating this expression is a matter of being especially attentive to the order of operations:
\(-23.6+(-4.8)+(4+4/5)*0.4-(-11.5)\) | This is the original expression. Let's clean it up a bit, shall we? |
\(-23.6-4.8+4\frac{4}{5}*0.4+11.5\) | According to order of operations, do \(4\frac{4}{5}*0.4\) first. We have to convert to an improper fraction |
\(-23.6-4.8+\frac{24}{5}*\frac{2}{5}+11.5\) | Multiply the fractions together |
\(-23.6-4.8+\frac{48}{25}+11.5\) | Convert \(\frac{48}{25}\)to a decimal. |
\(-23.6-4.8+1.92+11.5\) | Do the calculations from left to right now because addition and subtraction have equal priority |
\(-28.4+1.92+11.5\) | |
\(-26.48+11.5\) | |
\(-14.98\) | This is your answer |