Compare 9/35 and 30/32
9/35 is smaller than 30/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 32 is 1120
Next, find the equivalent fraction of both fractional numbers with denominator 1120 - For the 1st fraction, since 35 × 32 = 1120,
9/35 = 9 × 32/35 × 32 = 288/1120 - Likewise, for the 2nd fraction, since 32 × 35 = 1120,
30/32 = 30 × 35/32 × 35 = 1050/1120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/1120 < 1050/1120 or 9/35 < 30/32
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