Compare 30/14 and 42/32
1st number: 2 2/14, 2nd number: 1 10/32
30/14 is greater than 42/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 32 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 14 × 16 = 224,
30/14 = 30 × 16/14 × 16 = 480/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
42/32 = 42 × 7/32 × 7 = 294/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 480/224 > 294/224 or 30/14 > 42/32
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