Compare 2/10 and 27/40
2/10 is smaller than 27/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 40 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 10 × 4 = 40,
2/10 = 2 × 4/10 × 4 = 8/40 - Likewise, for the 2nd fraction, since 40 × 1 = 40,
27/40 = 27 × 1/40 × 1 = 27/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 8/40 < 27/40 or 2/10 < 27/40
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