Compare 6/32 and 27/42
6/32 is smaller than 27/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 42 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 32 × 21 = 672,
6/32 = 6 × 21/32 × 21 = 126/672 - Likewise, for the 2nd fraction, since 42 × 16 = 672,
27/42 = 27 × 16/42 × 16 = 432/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/672 < 432/672 or 6/32 < 27/42
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