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Final answer:The threefractionsbetween 5/8 and 3/4 with a denominator of 32 are 21/32, 22/32 and 23/32. This process involved first converting the original fractions to those with denominators of 32, thus allowing the finding of the three in-between fractions.Explanation:In order to answer the question, first we need to convert the given fractions, 5/8 and 3/4, into ones with adenominatorof 32. This is done to maintain uniformity, which will allow us to find the fractions between them. 5/8 can be converted to 20/32 and 3/4 can be converted to 24/32.Now we need to find three fractions between 20/32 and 24/32. This can be done by adding 1 to the numerator of the smaller fraction consecutively to achieve the required fractions. Hence, the fractions are 21/32, 22/32 and 23/32.Learn more about Fractions here:brainly.com/question/10354322#SPJ11...