Compare 7/45 and 2/6
7/45 is smaller than 2/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 6 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 45 × 2 = 90,
7/45 = 7 × 2/45 × 2 = 14/90 - Likewise, for the 2nd fraction, since 6 × 15 = 90,
2/6 = 2 × 15/6 × 15 = 30/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 14/90 < 30/90 or 7/45 < 2/6
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