Compare 32/30 and 42/14
1st number: 1 2/30, 2nd number: 3 0/14
32/30 is smaller than 42/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
32/30 = 32 × 7/30 × 7 = 224/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
42/14 = 42 × 15/14 × 15 = 630/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 224/210 < 630/210 or 32/30 < 42/14
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