Compare 7/4 and 54/30
1st number: 1 3/4, 2nd number: 1 24/30
7/4 is smaller than 54/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 30 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 4 × 15 = 60,
7/4 = 7 × 15/4 × 15 = 105/60 - Likewise, for the 2nd fraction, since 30 × 2 = 60,
54/30 = 54 × 2/30 × 2 = 108/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/60 < 108/60 or 7/4 < 54/30
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