Compare 7/4 and 40/35
1st number: 1 3/4, 2nd number: 1 5/35
7/4 is greater than 40/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 35 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 4 × 35 = 140,
7/4 = 7 × 35/4 × 35 = 245/140 - Likewise, for the 2nd fraction, since 35 × 4 = 140,
40/35 = 40 × 4/35 × 4 = 160/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 245/140 > 160/140 or 7/4 > 40/35
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