Compare 2/32 and 9/42
2/32 is smaller than 9/42
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,
2/32 = 2 × 21/32 × 21 = 42/672 - Likewise, for the 2nd fraction, since 42 × 16 = 672,
9/42 = 9 × 16/42 × 16 = 144/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/672 < 144/672 or 2/32 < 9/42
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