Compare 1/7 and 5/10
1/7 is smaller than 5/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 10 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 7 × 10 = 70,
1/7 = 1 × 10/7 × 10 = 10/70 - Likewise, for the 2nd fraction, since 10 × 7 = 70,
5/10 = 5 × 7/10 × 7 = 35/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 10/70 < 35/70 or 1/7 < 5/10
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