Compare 40/90 and 15/7
1st number: 40/90, 2nd number: 2 1/7
40/90 is smaller than 15/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 7 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 90 × 7 = 630,
40/90 = 40 × 7/90 × 7 = 280/630 - Likewise, for the 2nd fraction, since 7 × 90 = 630,
15/7 = 15 × 90/7 × 90 = 1350/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/630 < 1350/630 or 40/90 < 15/7
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