Compare 8/21 and 42/90
8/21 is smaller than 42/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 90 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 21 × 30 = 630,
8/21 = 8 × 30/21 × 30 = 240/630 - Likewise, for the 2nd fraction, since 90 × 7 = 630,
42/90 = 42 × 7/90 × 7 = 294/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/630 < 294/630 or 8/21 < 42/90
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