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