Compare 4/35 and 30/45
4/35 is smaller than 30/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
4/35 = 4 × 9/35 × 9 = 36/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
30/45 = 30 × 7/45 × 7 = 210/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/315 < 210/315 or 4/35 < 30/45
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