Compare 30/70 and 42/54
30/70 is smaller than 42/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 54 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 70 × 27 = 1890,
30/70 = 30 × 27/70 × 27 = 810/1890 - Likewise, for the 2nd fraction, since 54 × 35 = 1890,
42/54 = 42 × 35/54 × 35 = 1470/1890 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 810/1890 < 1470/1890 or 30/70 < 42/54
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