Compare 1/5 and 45/32
1st number: 1/5, 2nd number: 1 13/32
1/5 is smaller than 45/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 32 is 160
Next, find the equivalent fraction of both fractional numbers with denominator 160 - For the 1st fraction, since 5 × 32 = 160,
1/5 = 1 × 32/5 × 32 = 32/160 - Likewise, for the 2nd fraction, since 32 × 5 = 160,
45/32 = 45 × 5/32 × 5 = 225/160 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/160 < 225/160 or 1/5 < 45/32
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