Compare 10/24 and 36/70
10/24 is smaller than 36/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 70 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 70 × 12 = 840,
36/70 = 36 × 12/70 × 12 = 432/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 350/840 < 432/840 or 10/24 < 36/70
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