Compare 1/45 and 32/15
1st number: 1/45, 2nd number: 2 2/15
1/45 is smaller than 32/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 15 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 45 × 1 = 45,
1/45 = 1 × 1/45 × 1 = 1/45 - Likewise, for the 2nd fraction, since 15 × 3 = 45,
32/15 = 32 × 3/15 × 3 = 96/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1/45 < 96/45 or 1/45 < 32/15
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