Compare 2/8 and 45/60
2/8 is smaller than 45/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 60 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 8 × 15 = 120,
2/8 = 2 × 15/8 × 15 = 30/120 - Likewise, for the 2nd fraction, since 60 × 2 = 120,
45/60 = 45 × 2/60 × 2 = 90/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/120 < 90/120 or 2/8 < 45/60
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