Compare 30/84 and 42/32
1st number: 30/84, 2nd number: 1 10/32
30/84 is smaller than 42/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 32 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 84 × 8 = 672,
30/84 = 30 × 8/84 × 8 = 240/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
42/32 = 42 × 21/32 × 21 = 882/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/672 < 882/672 or 30/84 < 42/32
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