Compare 1/6 and 8/45
1/6 is smaller than 8/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 6 × 15 = 90,
1/6 = 1 × 15/6 × 15 = 15/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
8/45 = 8 × 2/45 × 2 = 16/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 15/90 < 16/90 or 1/6 < 8/45
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