Compare 30/80 and 40/36
1st number: 30/80, 2nd number: 1 4/36
30/80 is smaller than 40/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 36 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 80 × 9 = 720,
30/80 = 30 × 9/80 × 9 = 270/720 - Likewise, for the 2nd fraction, since 36 × 20 = 720,
40/36 = 40 × 20/36 × 20 = 800/720 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/720 < 800/720 or 30/80 < 40/36
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