Compare 7/16 and 14/30
7/16 is smaller than 14/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 30 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 16 × 15 = 240,
7/16 = 7 × 15/16 × 15 = 105/240 - Likewise, for the 2nd fraction, since 30 × 8 = 240,
14/30 = 14 × 8/30 × 8 = 112/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/240 < 112/240 or 7/16 < 14/30
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