Compare 30/40 and 32/7
1st number: 30/40, 2nd number: 4 4/7
30/40 is smaller than 32/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 7 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Likewise, for the 2nd fraction, since 7 × 40 = 280,
32/7 = 32 × 40/7 × 40 = 1280/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/280 < 1280/280 or 30/40 < 32/7
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