Compare 3/10 and 42/54
3/10 is smaller than 42/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 10 × 27 = 270,
3/10 = 3 × 27/10 × 27 = 81/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
42/54 = 42 × 5/54 × 5 = 210/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/270 < 210/270 or 3/10 < 42/54
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