Compare 32/10 and 42/6
1st number: 3 2/10, 2nd number: 7 0/6
32/10 is smaller than 42/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 6 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 10 × 3 = 30,
32/10 = 32 × 3/10 × 3 = 96/30 - Likewise, for the 2nd fraction, since 6 × 5 = 30,
42/6 = 42 × 5/6 × 5 = 210/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/30 < 210/30 or 32/10 < 42/6
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