Compare 12/42 and 45/90
12/42 is smaller than 45/90
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,
12/42 = 12 × 15/42 × 15 = 180/630 - Likewise, for the 2nd fraction, since 90 × 7 = 630,
45/90 = 45 × 7/90 × 7 = 315/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/630 < 315/630 or 12/42 < 45/90
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