Compare 9/30 and 10/27
930 is smaller than 1027
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
930 = 9 × 930 × 9 = 81270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
1027 = 10 × 1027 × 10 = 100270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81270 < 100270 or 930 < 1027
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