Compare 3/10 and 9/24
3/10 is smaller than 9/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 24 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 10 × 12 = 120,
3/10 = 3 × 12/10 × 12 = 36/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
9/24 = 9 × 5/24 × 5 = 45/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/120 < 45/120 or 3/10 < 9/24
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