Compare 3/45 and 81/8
1st number: 3/45, 2nd number: 10 1/8
3/45 is smaller than 81/8
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,
3/45 = 3 × 8/45 × 8 = 24/360 - Likewise, for the 2nd fraction, since 8 × 45 = 360,
81/8 = 81 × 45/8 × 45 = 3645/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/360 < 3645/360 or 3/45 < 81/8
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