Compare 75/42 and 56/30
1st number: 1 33/42, 2nd number: 1 26/30
75/42 is smaller than 56/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
75/42 = 75 × 5/42 × 5 = 375/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
56/30 = 56 × 7/30 × 7 = 392/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 375/210 < 392/210 or 75/42 < 56/30
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