Compare 3/24 and 10/35
3/24 is smaller than 10/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 35 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 24 × 35 = 840,
3/24 = 3 × 35/24 × 35 = 105/840 - Likewise, for the 2nd fraction, since 35 × 24 = 840,
10/35 = 10 × 24/35 × 24 = 240/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/840 < 240/840 or 3/24 < 10/35
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