Compare 2/27 and 6/48
2/27 is smaller than 6/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 48 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 27 × 16 = 432,
2/27 = 2 × 16/27 × 16 = 32/432 - Likewise, for the 2nd fraction, since 48 × 9 = 432,
6/48 = 6 × 9/48 × 9 = 54/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/432 < 54/432 or 2/27 < 6/48
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