Compare 12/90 and 40/7
1st number: 12/90, 2nd number: 5 5/7
12/90 is smaller than 40/7
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,
12/90 = 12 × 7/90 × 7 = 84/630 - Likewise, for the 2nd fraction, since 7 × 90 = 630,
40/7 = 40 × 90/7 × 90 = 3600/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/630 < 3600/630 or 12/90 < 40/7
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