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