Compare 75/84 and 45/50, Which fraction is greater?

Compare 75/84 and 45/50

75/84 is smaller than 45/50

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 50 is 2100

Next, find the equivalent fraction of both fractional numbers with denominator 2100
For the 1st fraction, since 84 × 25 = 2100,
75/84 = 75 × 25/84 × 25 = 1875/2100
Likewise, for the 2nd fraction, since 50 × 42 = 2100,
45/50 = 45 × 42/50 × 42 = 1890/2100
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
1875/2100 < 1890/2100 or 75/84 < 45/50

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