Compare 14/27 and 48/72
14/27 is smaller than 48/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 72 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 27 × 8 = 216,
14/27 = 14 × 8/27 × 8 = 112/216 - Likewise, for the 2nd fraction, since 72 × 3 = 216,
48/72 = 48 × 3/72 × 3 = 144/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/216 < 144/216 or 14/27 < 48/72
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