Compare 10/30 and 8/27
10/30 is greater than 8/27
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,
10/30 = 10 × 9/30 × 9 = 90/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
8/27 = 8 × 10/27 × 10 = 80/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/270 > 80/270 or 10/30 > 8/27
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