Compare 4/45 and 7/32
4/45 is smaller than 7/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 32 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 45 × 32 = 1440,
4/45 = 4 × 32/45 × 32 = 128/1440 - Likewise, for the 2nd fraction, since 32 × 45 = 1440,
7/32 = 7 × 45/32 × 45 = 315/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/1440 < 315/1440 or 4/45 < 7/32
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