Compare 1/7 and 8/48
1/7 is smaller than 8/48
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,
1/7 = 1 × 48/7 × 48 = 48/336 - Likewise, for the 2nd fraction, since 48 × 7 = 336,
8/48 = 8 × 7/48 × 7 = 56/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/336 < 56/336 or 1/7 < 8/48
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