Compare 40/45 and 10/7
1st number: 40/45, 2nd number: 1 3/7
40/45 is smaller than 10/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 7 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
40/45 = 40 × 7/45 × 7 = 280/315 - Likewise, for the 2nd fraction, since 7 × 45 = 315,
10/7 = 10 × 45/7 × 45 = 450/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/315 < 450/315 or 40/45 < 10/7
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