Compare 30/8 and 45/75
1st number: 3 6/8, 2nd number: 45/75
30/8 is greater than 45/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 8 × 75 = 600,
30/8 = 30 × 75/8 × 75 = 2250/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
45/75 = 45 × 8/75 × 8 = 360/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2250/600 > 360/600 or 30/8 > 45/75
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