Compare 12/45 and 35/4
1st number: 12/45, 2nd number: 8 3/4
12/45 is smaller than 35/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 4 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
12/45 = 12 × 4/45 × 4 = 48/180 - Likewise, for the 2nd fraction, since 4 × 45 = 180,
35/4 = 35 × 45/4 × 45 = 1575/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/180 < 1575/180 or 12/45 < 35/4
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