Compare 1/90 and 45/42
1st number: 1/90, 2nd number: 1 3/42
1/90 is smaller than 45/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 42 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 90 × 7 = 630,
1/90 = 1 × 7/90 × 7 = 7/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
45/42 = 45 × 15/42 × 15 = 675/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/630 < 675/630 or 1/90 < 45/42
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