Compare 30/32 and 42/8
1st number: 30/32, 2nd number: 5 2/8
30/32 is smaller than 42/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 8 is 32
Next, find the equivalent fraction of both fractional numbers with denominator 32 - For the 1st fraction, since 32 × 1 = 32,
30/32 = 30 × 1/32 × 1 = 30/32 - Likewise, for the 2nd fraction, since 8 × 4 = 32,
42/8 = 42 × 4/8 × 4 = 168/32 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/32 < 168/32 or 30/32 < 42/8
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