Compare 20/7 and 90/30
1st number: 2 6/7, 2nd number: 3 0/30
20/7 is smaller than 90/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 7 × 30 = 210,
20/7 = 20 × 30/7 × 30 = 600/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
90/30 = 90 × 7/30 × 7 = 630/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 600/210 < 630/210 or 20/7 < 90/30
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