Compare 2/8 and 30/40
2/8 is smaller than 30/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 40 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 8 × 5 = 40,
2/8 = 2 × 5/8 × 5 = 10/40 - Likewise, for the 2nd fraction, since 40 × 1 = 40,
30/40 = 30 × 1/40 × 1 = 30/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 10/40 < 30/40 or 2/8 < 30/40
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