Compare 7/40 and 40/80
7/40 is smaller than 40/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 80 is 80
Next, find the equivalent fraction of both fractional numbers with denominator 80 - For the 1st fraction, since 40 × 2 = 80,
7/40 = 7 × 2/40 × 2 = 14/80 - Likewise, for the 2nd fraction, since 80 × 1 = 80,
40/80 = 40 × 1/80 × 1 = 40/80 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 14/80 < 40/80 or 7/40 < 40/80
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