Compare 3/27 and 42/70
3/27 is smaller than 42/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 70 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 27 × 70 = 1890,
3/27 = 3 × 70/27 × 70 = 210/1890 - Likewise, for the 2nd fraction, since 70 × 27 = 1890,
42/70 = 42 × 27/70 × 27 = 1134/1890 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/1890 < 1134/1890 or 3/27 < 42/70
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