Compare 3/15 and 70/84
3/15 is smaller than 70/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 15 × 28 = 420,
3/15 = 3 × 28/15 × 28 = 84/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
70/84 = 70 × 5/84 × 5 = 350/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/420 < 350/420 or 3/15 < 70/84
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