Compare 40/50 and 45/7, Which fraction is greater?

Compare 40/50 and 45/7

1^st number: 40/50, 2^nd number: 6 3/7

40/50 is smaller than 45/7

Find the least common denominator or LCM of the two denominators:
LCM of 50 and 7 is 350

Next, find the equivalent fraction of both fractional numbers with denominator 350
For the 1st fraction, since 50 × 7 = 350,
40/50 = 40 × 7/50 × 7 = 280/350
Likewise, for the 2nd fraction, since 7 × 50 = 350,
45/7 = 45 × 50/7 × 50 = 2250/350
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
280/350 < 2250/350 or 40/50 < 45/7

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