Compare 30/70 and 54/42
1st number: 30/70, 2nd number: 1 12/42
30/70 is smaller than 54/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 70 × 3 = 210,
30/70 = 30 × 3/70 × 3 = 90/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
54/42 = 54 × 5/42 × 5 = 270/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/210 < 270/210 or 30/70 < 54/42
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