Compare 2/5 and 50/70
2/5 is smaller than 50/70
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,
2/5 = 2 × 14/5 × 14 = 28/70 - Likewise, for the 2nd fraction, since 70 × 1 = 70,
50/70 = 50 × 1/70 × 1 = 50/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/70 < 50/70 or 2/5 < 50/70
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