Compare 7/48 and 16/27
7/48 is smaller than 16/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 27 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 48 × 9 = 432,
7/48 = 7 × 9/48 × 9 = 63/432 - Likewise, for the 2nd fraction, since 27 × 16 = 432,
16/27 = 16 × 16/27 × 16 = 256/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/432 < 256/432 or 7/48 < 16/27
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