Compare 40/96 and 30/36
40/96 is smaller than 30/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 36 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 96 × 3 = 288,
40/96 = 40 × 3/96 × 3 = 120/288 - Likewise, for the 2nd fraction, since 36 × 8 = 288,
30/36 = 30 × 8/36 × 8 = 240/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/288 < 240/288 or 40/96 < 30/36
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