Compare 10/40 and 12/70
10/40 is greater than 12/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 70 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
10/40 = 10 × 7/40 × 7 = 70/280 - Likewise, for the 2nd fraction, since 70 × 4 = 280,
12/70 = 12 × 4/70 × 4 = 48/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/280 > 48/280 or 10/40 > 12/70
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