Compare 30/50 and 5/7
30/50 is smaller than 5/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 7 is 350
Next, find the equivalent fraction of both fractional numbers with denominator 350 - For the 1st fraction, since 50 × 7 = 350,
30/50 = 30 × 7/50 × 7 = 210/350 - Likewise, for the 2nd fraction, since 7 × 50 = 350,
5/7 = 5 × 50/7 × 50 = 250/350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/350 < 250/350 or 30/50 < 5/7
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