Compare 2/7 and 28/90
2/7 is smaller than 28/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 90 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 7 × 90 = 630,
2/7 = 2 × 90/7 × 90 = 180/630 - Likewise, for the 2nd fraction, since 90 × 7 = 630,
28/90 = 28 × 7/90 × 7 = 196/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/630 < 196/630 or 2/7 < 28/90
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