Compare 9/16 and 40/54
9/16 is smaller than 40/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 54 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 16 × 27 = 432,
9/16 = 9 × 27/16 × 27 = 243/432 - Likewise, for the 2nd fraction, since 54 × 8 = 432,
40/54 = 40 × 8/54 × 8 = 320/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 243/432 < 320/432 or 9/16 < 40/54
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