Compare 28/45 and 40/35
1st number: 28/45, 2nd number: 1 5/35
28/45 is smaller than 40/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
28/45 = 28 × 7/45 × 7 = 196/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
40/35 = 40 × 9/35 × 9 = 360/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 196/315 < 360/315 or 28/45 < 40/35
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