Compare 16/27 and 10/16
16/27 is smaller than 10/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 16 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 27 × 16 = 432,
16/27 = 16 × 16/27 × 16 = 256/432 - Likewise, for the 2nd fraction, since 16 × 27 = 432,
10/16 = 10 × 27/16 × 27 = 270/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 256/432 < 270/432 or 16/27 < 10/16
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