Compare 2/45 and 42/60
2/45 is smaller than 42/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 60 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
2/45 = 2 × 4/45 × 4 = 8/180 - Likewise, for the 2nd fraction, since 60 × 3 = 180,
42/60 = 42 × 3/60 × 3 = 126/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 8/180 < 126/180 or 2/45 < 42/60
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