Compare 2/7 and 21/70
2/7 is smaller than 21/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 70 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 7 × 10 = 70,
2/7 = 2 × 10/7 × 10 = 20/70 - Likewise, for the 2nd fraction, since 70 × 1 = 70,
21/70 = 21 × 1/70 × 1 = 21/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/70 < 21/70 or 2/7 < 21/70
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