Compare 10/70 and 10/30
10/70 is smaller than 10/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 70 × 3 = 210,
10/70 = 10 × 3/70 × 3 = 30/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
10/30 = 10 × 7/30 × 7 = 70/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/210 < 70/210 or 10/70 < 10/30
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