Compare 30/32 and 49/30
1st number: 30/32, 2nd number: 1 19/30
30/32 is smaller than 49/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 30 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 32 × 15 = 480,
30/32 = 30 × 15/32 × 15 = 450/480 - Likewise, for the 2nd fraction, since 30 × 16 = 480,
49/30 = 49 × 16/30 × 16 = 784/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/480 < 784/480 or 30/32 < 49/30
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