Compare 10/35 and 12/40
10/35 is smaller than 12/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
10/35 = 10 × 8/35 × 8 = 80/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
12/40 = 12 × 7/40 × 7 = 84/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/280 < 84/280 or 10/35 < 12/40
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