Compare 7/30 and 3/8
730 is smaller than 38
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 8 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
730 = 7 × 430 × 4 = 28120 - Likewise, for the 2nd fraction, since 8 × 15 = 120,
38 = 3 × 158 × 15 = 45120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28120 < 45120 or 730 < 38
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