Compare 3/27 and 40/30
1st number: 3/27, 2nd number: 1 10/30
3/27 is smaller than 40/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 30 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 27 × 10 = 270,
3/27 = 3 × 10/27 × 10 = 30/270 - Likewise, for the 2nd fraction, since 30 × 9 = 270,
40/30 = 40 × 9/30 × 9 = 360/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/270 < 360/270 or 3/27 < 40/30
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