Compare 3/7 and 42/50
3/7 is smaller than 42/50
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,
3/7 = 3 × 50/7 × 50 = 150/350 - Likewise, for the 2nd fraction, since 50 × 7 = 350,
42/50 = 42 × 7/50 × 7 = 294/350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/350 < 294/350 or 3/7 < 42/50
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