Compare 42/35 and 30/24
1st number: 1 7/35, 2nd number: 1 6/24
42/35 is smaller than 30/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 24 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 35 × 24 = 840,
42/35 = 42 × 24/35 × 24 = 1008/840 - Likewise, for the 2nd fraction, since 24 × 35 = 840,
30/24 = 30 × 35/24 × 35 = 1050/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1008/840 < 1050/840 or 42/35 < 30/24
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