Compare 2/5 and 27/48
2/5 is smaller than 27/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 48 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 5 × 48 = 240,
2/5 = 2 × 48/5 × 48 = 96/240 - Likewise, for the 2nd fraction, since 48 × 5 = 240,
27/48 = 27 × 5/48 × 5 = 135/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/240 < 135/240 or 2/5 < 27/48
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