Compare 30/90 and 20/7
1st number: 30/90, 2nd number: 2 6/7
30/90 is smaller than 20/7
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,
30/90 = 30 × 7/90 × 7 = 210/630 - Likewise, for the 2nd fraction, since 7 × 90 = 630,
20/7 = 20 × 90/7 × 90 = 1800/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/630 < 1800/630 or 30/90 < 20/7
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