Compare 7/8 and 27/30
7/8 is smaller than 27/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 30 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 8 × 15 = 120,
7/8 = 7 × 15/8 × 15 = 105/120 - Likewise, for the 2nd fraction, since 30 × 4 = 120,
27/30 = 27 × 4/30 × 4 = 108/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/120 < 108/120 or 7/8 < 27/30
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