Compare 1/48 and 15/27
1/48 is smaller than 15/27
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,
1/48 = 1 × 9/48 × 9 = 9/432 - Likewise, for the 2nd fraction, since 27 × 16 = 432,
15/27 = 15 × 16/27 × 16 = 240/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/432 < 240/432 or 1/48 < 15/27
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