Compare 1/35 and 45/54
1/35 is smaller than 45/54
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,
1/35 = 1 × 54/35 × 54 = 54/1890 - Likewise, for the 2nd fraction, since 54 × 35 = 1890,
45/54 = 45 × 35/54 × 35 = 1575/1890 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/1890 < 1575/1890 or 1/35 < 45/54
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