Compare 36/30 and 54/42
1st number: 1 6/30, 2nd number: 1 12/42
36/30 is smaller than 54/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
36/30 = 36 × 7/30 × 7 = 252/210 - 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
- 252/210 < 270/210 or 36/30 < 54/42
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