Compare 4/15 and 40/54
4/15 is smaller than 40/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 15 × 18 = 270,
4/15 = 4 × 18/15 × 18 = 72/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
40/54 = 40 × 5/54 × 5 = 200/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/270 < 200/270 or 4/15 < 40/54
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