Compare 10/30 and 75/8
1st number: 10/30, 2nd number: 9 3/8
10/30 is smaller than 75/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 8 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
10/30 = 10 × 4/30 × 4 = 40/120 - Likewise, for the 2nd fraction, since 8 × 15 = 120,
75/8 = 75 × 15/8 × 15 = 1125/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/120 < 1125/120 or 10/30 < 75/8
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