Compare 20/49 and 40/60
20/49 is smaller than 40/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 60 is 2940
Next, find the equivalent fraction of both fractional numbers with denominator 2940 - For the 1st fraction, since 49 × 60 = 2940,
20/49 = 20 × 60/49 × 60 = 1200/2940 - Likewise, for the 2nd fraction, since 60 × 49 = 2940,
40/60 = 40 × 49/60 × 49 = 1960/2940 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1200/2940 < 1960/2940 or 20/49 < 40/60
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