Compare 30/21 and 42/32
1st number: 1 9/21, 2nd number: 1 10/32
30/21 is greater than 42/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 32 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 21 × 32 = 672,
30/21 = 30 × 32/21 × 32 = 960/672 - 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
- 960/672 > 882/672 or 30/21 > 42/32
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