In a stand mixer fitted with a dough hook, combine the flour and salt. With the mixer on low speed, add the oil, and then water a little at a time until fully incorporated. You can also mix this in a mixing bowl and knead by hand if you don't have a stand mixer.
Knead for about ten minutes until the dough is elastic and smooth. Cover the dough with a towel or plastic wrap and let it rest for 20 minutes.
Lightly flour a work surface and cut your dough into 4 equal pieces. Using a pasta maker or rolling pin, roll out your dough to the desired thickness. To do this with a pasta maker, take one piece of dough and flatten it slightly. Flour it well and feed it through the pasta maker on the thickest setting. Turn the dial to the second thickest setting and feed your dough through again. Repeat this until the dough is the desired thickness. You don't want to go all the way to the thinnest setting for pasta. Dust the pasta sheets with flour.
Once you have rolled out all 4 sheets of dough, now it's time to cut it into the desired shape. You can cut the noodles by hand or use the pasta-cutting attachment on your pasta maker. For this recipe, I used the fettuccine setting and ran the sheets of pasta through the cutting attachment until all my dough was cut.
Dry your noodles on a pasta rack or in a traditional nest shape. You can also flour your noodles to prevent them from sticking and scatter them on a baking sheet to dry.
Let the noodles dry for about 15 minutes. While you are waiting, set a pot of salted water to boil.
Boil your pasta for about 3-5 minutes. Fresh pasta only needs a few minutes to cook and will lighten in color when al dente.
Drain, add your favorite sauce, and enjoy your homemade pasta!