Compare 3/8 and 50/70
3/8 is smaller than 50/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 70 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 8 × 35 = 280,
3/8 = 3 × 35/8 × 35 = 105/280 - Likewise, for the 2nd fraction, since 70 × 4 = 280,
50/70 = 50 × 4/70 × 4 = 200/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/280 < 200/280 or 3/8 < 50/70
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