Compare 40/35 and 54/28
1st number: 1 5/35, 2nd number: 1 26/28
40/35 is smaller than 54/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 28 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 35 × 4 = 140,
40/35 = 40 × 4/35 × 4 = 160/140 - Likewise, for the 2nd fraction, since 28 × 5 = 140,
54/28 = 54 × 5/28 × 5 = 270/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/140 < 270/140 or 40/35 < 54/28
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