+2446 I cannot find my error. Evaluate the expression if w=3/4, x=8, y=-2, and z=0.4
(wx+yz)/(wx-yz)
+2446 We already know the values of the given variables, so simply substitute the known value for the given value into the expression and evaluate carefully.
| \(\frac{wx+yz}{wx-yz}\) | Visually, a fraction is probably more attractive. Now, as aforementioned, plug in the values provided. |
| \(\frac{\frac{3}{4}*8+(-2)(0.4)}{\frac{3}{4}*8-(-2)(0.4)}\) | Let's do the multiplication in the numerator and denominator first. |
| \(\frac{\frac{24}{4}-0.8}{\frac{24}{4}+0.8}\) | Of course, 24/4=6, so we can simplift further. |
| \(\frac{6-0.8}{6+0.8}\) | |
| \(\frac{5.2}{6.8}\) | Leaving decimals in fraction is not desired, so let's eliminate those by multiplying the numerator and denominator by 10. |
| \(\frac{52}{68}\) | The GCF of the numerator and denominator happen to be 4, so factor that out. |
| \(\frac{13}{17}\) | There are no common factors, other than 1, that we can factor out. This fraction has an ugly corresponding decimal expansion, so I will not bother to leave that. |
