Compare 2/7 and 15/48
2/7 is smaller than 15/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 48 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 7 × 48 = 336,
2/7 = 2 × 48/7 × 48 = 96/336 - Likewise, for the 2nd fraction, since 48 × 7 = 336,
15/48 = 15 × 7/48 × 7 = 105/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/336 < 105/336 or 2/7 < 15/48
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