Compare 14/30 and 35/72
14/30 is smaller than 35/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 72 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 30 × 12 = 360,
14/30 = 14 × 12/30 × 12 = 168/360 - Likewise, for the 2nd fraction, since 72 × 5 = 360,
35/72 = 35 × 5/72 × 5 = 175/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/360 < 175/360 or 14/30 < 35/72
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