Compare 30/80 and 40/84
30/80 is smaller than 40/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 84 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 80 × 21 = 1680,
30/80 = 30 × 21/80 × 21 = 630/1680 - Likewise, for the 2nd fraction, since 84 × 20 = 1680,
40/84 = 40 × 20/84 × 20 = 800/1680 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 630/1680 < 800/1680 or 30/80 < 40/84
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