Compare 35/16 and 45/14
1st number: 2 3/16, 2nd number: 3 3/14
35/16 is smaller than 45/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 14 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 16 × 7 = 112,
35/16 = 35 × 7/16 × 7 = 245/112 - Likewise, for the 2nd fraction, since 14 × 8 = 112,
45/14 = 45 × 8/14 × 8 = 360/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 245/112 < 360/112 or 35/16 < 45/14
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