Compare 5/30 and 32/45
5/30 is smaller than 32/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
5/30 = 5 × 3/30 × 3 = 15/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
32/45 = 32 × 2/45 × 2 = 64/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 15/90 < 64/90 or 5/30 < 32/45
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