Compare 9/35 and 35/40
9/35 is smaller than 35/40
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,
9/35 = 9 × 8/35 × 8 = 72/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
35/40 = 35 × 7/40 × 7 = 245/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/280 < 245/280 or 9/35 < 35/40
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