Compare 18/35 and 18/40
18/35 is greater than 18/40
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,
18/35 = 18 × 8/35 × 8 = 144/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
18/40 = 18 × 7/40 × 7 = 126/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/280 > 126/280 or 18/35 > 18/40
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