Compare 42/30 and 75/45
1st number: 1 12/30, 2nd number: 1 30/45
42/30 is smaller than 75/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
42/30 = 42 × 3/30 × 3 = 126/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
75/45 = 75 × 2/45 × 2 = 150/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/90 < 150/90 or 42/30 < 75/45
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