Compare 20/7 and 40/45
1st number: 2 6/7, 2nd number: 40/45
20/7 is greater than 40/45
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,
20/7 = 20 × 45/7 × 45 = 900/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
40/45 = 40 × 7/45 × 7 = 280/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 900/315 > 280/315 or 20/7 > 40/45
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