Compare 40/54 and 54/70
40/54 is smaller than 54/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 70 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 54 × 35 = 1890,
40/54 = 40 × 35/54 × 35 = 1400/1890 - Likewise, for the 2nd fraction, since 70 × 27 = 1890,
54/70 = 54 × 27/70 × 27 = 1458/1890 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1400/1890 < 1458/1890 or 40/54 < 54/70
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