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