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Yes, nine tenths is larger than six sevenths. The easiest way to figure it out is to convert the fractions into decimals and compare. To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). Example: 9/10 is 9 divided by 10 which is .9; 6/7 is 6 divided by 7 which is .857; .9 is more than .857, so nine tenths is the larger number.
9
? Divided by 9 = 200
9 divided by 9/4 = 4