Compare 45/60 and 75/98
45/60 is smaller than 75/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 98 is 2940
Next, find the equivalent fraction of both fractional numbers with denominator 2940 - For the 1st fraction, since 60 × 49 = 2940,
45/60 = 45 × 49/60 × 49 = 2205/2940 - Likewise, for the 2nd fraction, since 98 × 30 = 2940,
75/98 = 75 × 30/98 × 30 = 2250/2940 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2205/2940 < 2250/2940 or 45/60 < 75/98
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