Compare 3/5 and 60/70
3/5 is smaller than 60/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 70 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 5 × 14 = 70,
3/5 = 3 × 14/5 × 14 = 42/70 - Likewise, for the 2nd fraction, since 70 × 1 = 70,
60/70 = 60 × 1/70 × 1 = 60/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/70 < 60/70 or 3/5 < 60/70
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