Compare 9/40 and 36/75
9/40 is smaller than 36/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 40 × 15 = 600,
9/40 = 9 × 15/40 × 15 = 135/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
36/75 = 36 × 8/75 × 8 = 288/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/600 < 288/600 or 9/40 < 36/75
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