Compare 1/32 and 4/42
1/32 is smaller than 4/42
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,
1/32 = 1 × 21/32 × 21 = 21/672 - Likewise, for the 2nd fraction, since 42 × 16 = 672,
4/42 = 4 × 16/42 × 16 = 64/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/672 < 64/672 or 1/32 < 4/42
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