Compare 9/40 and 27/48
9/40 is smaller than 27/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 48 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 40 × 6 = 240,
9/40 = 9 × 6/40 × 6 = 54/240 - Likewise, for the 2nd fraction, since 48 × 5 = 240,
27/48 = 27 × 5/48 × 5 = 135/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/240 < 135/240 or 9/40 < 27/48
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