Compare 2/45 and 1/8
2/45 is smaller than 1/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 8 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
2/45 = 2 × 8/45 × 8 = 16/360 - Likewise, for the 2nd fraction, since 8 × 45 = 360,
1/8 = 1 × 45/8 × 45 = 45/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/360 < 45/360 or 2/45 < 1/8
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