Compare 40/35 and 7/28
1st number: 1 5/35, 2nd number: 7/28
40/35 is greater than 7/28
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,
7/28 = 7 × 5/28 × 5 = 35/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/140 > 35/140 or 40/35 > 7/28
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