Compare 35/32 and 45/5
1st number: 1 3/32, 2nd number: 9 0/5
35/32 is smaller than 45/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 5 is 160
Next, find the equivalent fraction of both fractional numbers with denominator 160 - For the 1st fraction, since 32 × 5 = 160,
35/32 = 35 × 5/32 × 5 = 175/160 - Likewise, for the 2nd fraction, since 5 × 32 = 160,
45/5 = 45 × 32/5 × 32 = 1440/160 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 175/160 < 1440/160 or 35/32 < 45/5
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