Compare 30/60 and 36/49
30/60 is smaller than 36/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 49 is 2940
Next, find the equivalent fraction of both fractional numbers with denominator 2940 - For the 1st fraction, since 60 × 49 = 2940,
30/60 = 30 × 49/60 × 49 = 1470/2940 - Likewise, for the 2nd fraction, since 49 × 60 = 2940,
36/49 = 36 × 60/49 × 60 = 2160/2940 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1470/2940 < 2160/2940 or 30/60 < 36/49
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