Compare 1/30 and 40/28
1st number: 1/30, 2nd number: 1 12/28
1/30 is smaller than 40/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
1/30 = 1 × 14/30 × 14 = 14/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
40/28 = 40 × 15/28 × 15 = 600/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 14/420 < 600/420 or 1/30 < 40/28
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