Compare 10/20 and 30/70
10/20 is greater than 30/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 70 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 20 × 7 = 140,
10/20 = 10 × 7/20 × 7 = 70/140 - Likewise, for the 2nd fraction, since 70 × 2 = 140,
30/70 = 30 × 2/70 × 2 = 60/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/140 > 60/140 or 10/20 > 30/70
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