Compare 2/42 and 45/80
2/42 is smaller than 45/80
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,
2/42 = 2 × 40/42 × 40 = 80/1680 - Likewise, for the 2nd fraction, since 80 × 21 = 1680,
45/80 = 45 × 21/80 × 21 = 945/1680 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/1680 < 945/1680 or 2/42 < 45/80
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