Compare 30/90 and 10/27
30/90 is smaller than 10/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 90 × 3 = 270,
30/90 = 30 × 3/90 × 3 = 90/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
10/27 = 10 × 10/27 × 10 = 100/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/270 < 100/270 or 30/90 < 10/27
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