You can use either expression for clothes, but the meaning is different. 'Inside out' is just what it sounds like. The side which should be inside is outside. As in your example, if you are washing something that might get damaged in the washing machine, you turn it 'inside out' before it goes into the laundry. But let's say you get dressed too quickly and you put your sweater on 'back to front', with the front part at the back and the back part at the front. Suddenly, you catch sight of yourself in the mirror, and see that your sweater is 'the wrong way round'. So you quickly put it 'the other way round', with the front part at the front. It's now 'the right way round'. The other phrase to remember as part of this set is 'upside down'. If you're hanging from a tree by your feet, you're 'upside down'. Nice phrases, aren't they?

A few example sentences for you Yo frío la cebolla y luego el pimiento — pues yo lo hago al revés. I fry the onion first and then the peppers — I do it the other way around. They should be thanking us, not the other way around! ellos deberían darnos las gracias a nosotros y no al revés. I bought a new fridge but the door opens the wrong way round for me, I would prefer it to open the other way round. If we go this way round (this route) we'll be in Manchester in 40 minutes. I'd prefer to go the other way round (an alternative route), I know it takes longer but it's more scenic. I wanted to go shopping first and then take the dog to the vet's, but I got up late and had to do it the other way round. The mirror will look better on that wall if you hang it the other way round (rotate it 90 degrees). I'd suggest that you turn your jeans inside out before you wash them, doing it the other way round (washing them and then turning them inside out) wouldn't make much sense. :) Another 'upside down' song - https://www.youtube.com/watch?v=4GtyMeEcPPE

Don't forget to capitalize English and Spanish on your examples, but the first and second are good examples. For the test sheet example, I would say "turn it over" if you want to flip it over so that it's not showing the writing. If you say "turn it the other way around" here, I would think that the writing is upside down so you can't read it (the plane of the page stays the same). Correct about the use of "inside out" on clothing (preparing clothes for laundry). Another example for "other way around" would be: It's easy to learn Spanish once you know French, but it's not as easy the other way around because French is not a transparent language, so the pronunciation rules are more complicated.

"the other way around" significa "al revés" o "vice versa". Por ejemplo: "The government should follow the voice of the people and not the other way around." (El gobierno debería seguir la voz del pueblo y no al revés.) 2.- There are many native spanish speakers learning english but sometimes, it's the other way around. - Matheus always helps his brother, but his brother never returns the favor. ("The other way around" doesn't really work here.) - Flip your test upside down. OR put the test face down on the table. 3. Usually I use my credit card to buy clothes and I use cash to pay for food, but sometimes it's the other way around. I drew a picture of Spain's flag, but I accidentally colored the inside red and the outside yellow. It's supposed to be the other way around. 4. Before doing the laundry, be sure to turn the jeans inside out.