Compare 1/54 and 42/70
1/54 is smaller than 42/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 70 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 54 × 35 = 1890,
1/54 = 1 × 35/54 × 35 = 35/1890 - 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
- 35/1890 < 1134/1890 or 1/54 < 42/70
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