Compare 8/35 and 30/40
8/35 is smaller than 30/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
8/35 = 8 × 8/35 × 8 = 64/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/280 < 210/280 or 8/35 < 30/40
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