Compare 2/32 and 45/49
2/32 is smaller than 45/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 49 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 32 × 49 = 1568,
2/32 = 2 × 49/32 × 49 = 98/1568 - Likewise, for the 2nd fraction, since 49 × 32 = 1568,
45/49 = 45 × 32/49 × 32 = 1440/1568 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/1568 < 1440/1568 or 2/32 < 45/49
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