Compare 14/16 and 9/28
14/16 is greater than 9/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 28 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 16 × 7 = 112,
14/16 = 14 × 7/16 × 7 = 98/112 - Likewise, for the 2nd fraction, since 28 × 4 = 112,
9/28 = 9 × 4/28 × 4 = 36/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/112 > 36/112 or 14/16 > 9/28
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