Compare 7/30 and 40/27
1st number: 7/30, 2nd number: 1 13/27
7/30 is smaller than 40/27
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,
7/30 = 7 × 9/30 × 9 = 63/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
40/27 = 40 × 10/27 × 10 = 400/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/270 < 400/270 or 7/30 < 40/27
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