Compare 30/70 and 72/84
30/70 is smaller than 72/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 70 × 6 = 420,
30/70 = 30 × 6/70 × 6 = 180/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
72/84 = 72 × 5/84 × 5 = 360/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/420 < 360/420 or 30/70 < 72/84
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