Compare 1/27 and 90/60
1st number: 1/27, 2nd number: 1 30/60
1/27 is smaller than 90/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 60 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 27 × 20 = 540,
1/27 = 1 × 20/27 × 20 = 20/540 - Likewise, for the 2nd fraction, since 60 × 9 = 540,
90/60 = 90 × 9/60 × 9 = 810/540 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/540 < 810/540 or 1/27 < 90/60
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