Compare 4/10 and 40/27
1st number: 4/10, 2nd number: 1 13/27
4/10 is smaller than 40/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 10 × 27 = 270,
4/10 = 4 × 27/10 × 27 = 108/270 - 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
- 108/270 < 400/270 or 4/10 < 40/27
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