Compare 30/6 and 45/8
1st number: 5 0/6, 2nd number: 5 5/8
30/6 is smaller than 45/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 8 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 6 × 4 = 24,
30/6 = 30 × 4/6 × 4 = 120/24 - Likewise, for the 2nd fraction, since 8 × 3 = 24,
45/8 = 45 × 3/8 × 3 = 135/24 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/24 < 135/24 or 30/6 < 45/8
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