Compare 3/42 and 15/90
3/42 is smaller than 15/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 90 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
3/42 = 3 × 15/42 × 15 = 45/630 - Likewise, for the 2nd fraction, since 90 × 7 = 630,
15/90 = 15 × 7/90 × 7 = 105/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/630 < 105/630 or 3/42 < 15/90
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