Compare 9/40 and 3/10
9/40 is smaller than 3/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 10 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 40 × 1 = 40,
9/40 = 9 × 1/40 × 1 = 9/40 - Likewise, for the 2nd fraction, since 10 × 4 = 40,
3/10 = 3 × 4/10 × 4 = 12/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/40 < 12/40 or 9/40 < 3/10
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