Compare 30/48 and 16/7
1st number: 30/48, 2nd number: 2 2/7
30/48 is smaller than 16/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 7 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 48 × 7 = 336,
30/48 = 30 × 7/48 × 7 = 210/336 - Likewise, for the 2nd fraction, since 7 × 48 = 336,
16/7 = 16 × 48/7 × 48 = 768/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/336 < 768/336 or 30/48 < 16/7
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