Compare 42/50 and 30/40
42/50 is greater than 30/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 40 is 200
Next, find the equivalent fraction of both fractional numbers with denominator 200 - For the 1st fraction, since 50 × 4 = 200,
42/50 = 42 × 4/50 × 4 = 168/200 - Likewise, for the 2nd fraction, since 40 × 5 = 200,
30/40 = 30 × 5/40 × 5 = 150/200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/200 > 150/200 or 42/50 > 30/40
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