Compare 6/7 and 15/18
6/7 is greater than 15/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 7 × 18 = 126,
6/7 = 6 × 18/7 × 18 = 108/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
15/18 = 15 × 7/18 × 7 = 105/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/126 > 105/126 or 6/7 > 15/18
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