Compare 12/35 and 40/54
12/35 is smaller than 40/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 54 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 35 × 54 = 1890,
12/35 = 12 × 54/35 × 54 = 648/1890 - Likewise, for the 2nd fraction, since 54 × 35 = 1890,
40/54 = 40 × 35/54 × 35 = 1400/1890 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 648/1890 < 1400/1890 or 12/35 < 40/54
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