Compare 32/30 and 63/8
1st number: 1 2/30, 2nd number: 7 7/8
32/30 is smaller than 63/8
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,
32/30 = 32 × 4/30 × 4 = 128/120 - Likewise, for the 2nd fraction, since 8 × 15 = 120,
63/8 = 63 × 15/8 × 15 = 945/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/120 < 945/120 or 32/30 < 63/8
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