3 fourths is greater because do the butterfly method: 4x2=8 and 3*3=9 so then it proves three fourths is bigger.
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(five and two thirds) minus (two and three fourths) = 2.91666667
three fourths is larger because when put into decimal form it is .75 and two thirds is .6666 repeated which would round to .67 so do the simple math and subtract the to to tell that it is .08 bigger than the leading two thirds
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Try to make those fractions into decimals. Three fourths is 0.75 and two thirds is between 0.66 and 0.67