Compare 14/80 and 30/42
14/80 is smaller than 30/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 42 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 80 × 21 = 1680,
14/80 = 14 × 21/80 × 21 = 294/1680 - Likewise, for the 2nd fraction, since 42 × 40 = 1680,
30/42 = 30 × 40/42 × 40 = 1200/1680 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/1680 < 1200/1680 or 14/80 < 30/42
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