Compare 2/7 and 35/45
2/7 is smaller than 35/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 7 × 45 = 315,
2/7 = 2 × 45/7 × 45 = 90/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
35/45 = 35 × 7/45 × 7 = 245/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/315 < 245/315 or 2/7 < 35/45
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