Compare 40/30 and 60/27
1st number: 1 10/30, 2nd number: 2 6/27
40/30 is smaller than 60/27
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,
60/27 = 60 × 10/27 × 10 = 600/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/270 < 600/270 or 40/30 < 60/27
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