Compare 45/40 and 30/8
1st number: 1 5/40, 2nd number: 3 6/8
45/40 is smaller than 30/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 8 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 40 × 1 = 40,
45/40 = 45 × 1/40 × 1 = 45/40 - Likewise, for the 2nd fraction, since 8 × 5 = 40,
30/8 = 30 × 5/8 × 5 = 150/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/40 < 150/40 or 45/40 < 30/8
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