That depends what it is one third of.
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There are 36 inches in one yard. Therefore, 1 yard and one third inches is equal to 36.3 recurring (that is, 36.3333...) inches.
One yard is 36 inches.1/3 *36 inches = 12 inches.
It depends on what it is that you are interested in having one third of. If in fact that is what you meant to ask. One third of a yard is one foot, or 12 inches. If you meant to ask how many inches in a yard, then the answer is 36 inches. One third implies one part of any three of anything that can be divided into three parts. That's the best I can do for you. I am not certain that I fully understand your question.
There are 12 inches in one foot. 568 / 12 = 47.3 recurring (that is, 47.333..., or 47 and one third). There are 4 inches in one third of a foot. Therefore 568 inches is equal to 47 feet 4 inches.
one third a cup