Compare 2/10 and 56/84
2/10 is smaller than 56/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 10 × 42 = 420,
2/10 = 2 × 42/10 × 42 = 84/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
56/84 = 56 × 5/84 × 5 = 280/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/420 < 280/420 or 2/10 < 56/84
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