Compare 30/28 and 40/7
1st number: 1 2/28, 2nd number: 5 5/7
30/28 is smaller than 40/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 7 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 28 × 1 = 28,
30/28 = 30 × 1/28 × 1 = 30/28 - Likewise, for the 2nd fraction, since 7 × 4 = 28,
40/7 = 40 × 4/7 × 4 = 160/28 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/28 < 160/28 or 30/28 < 40/7
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