Compare 10/24 and 24/35
10/24 is smaller than 24/35
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,
10/24 = 10 × 35/24 × 35 = 350/840 - Likewise, for the 2nd fraction, since 35 × 24 = 840,
24/35 = 24 × 24/35 × 24 = 576/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 350/840 < 576/840 or 10/24 < 24/35
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