Compare 40/30 and 42/27
1st number: 1 10/30, 2nd number: 1 15/27
40/30 is smaller than 42/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
40/30 = 40 × 9/30 × 9 = 360/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
42/27 = 42 × 10/27 × 10 = 420/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/270 < 420/270 or 40/30 < 42/27
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