Compare 30/42 and 30/80
30/42 is greater than 30/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 80 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 42 × 40 = 1680,
30/42 = 30 × 40/42 × 40 = 1200/1680 - Likewise, for the 2nd fraction, since 80 × 21 = 1680,
30/80 = 30 × 21/80 × 21 = 630/1680 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1200/1680 > 630/1680 or 30/42 > 30/80
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