Compare 4/7 and 30/50
4/7 is smaller than 30/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 50 is 350
Next, find the equivalent fraction of both fractional numbers with denominator 350 - For the 1st fraction, since 7 × 50 = 350,
4/7 = 4 × 50/7 × 50 = 200/350 - Likewise, for the 2nd fraction, since 50 × 7 = 350,
30/50 = 30 × 7/50 × 7 = 210/350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/350 < 210/350 or 4/7 < 30/50
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