Compare 1/32 and 45/14
1st number: 1/32, 2nd number: 3 3/14
1/32 is smaller than 45/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 14 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 32 × 7 = 224,
1/32 = 1 × 7/32 × 7 = 7/224 - Likewise, for the 2nd fraction, since 14 × 16 = 224,
45/14 = 45 × 16/14 × 16 = 720/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/224 < 720/224 or 1/32 < 45/14
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