Compare 42/8 and 30/21
1st number: 5 2/8, 2nd number: 1 9/21
42/8 is greater than 30/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 8 × 21 = 168,
42/8 = 42 × 21/8 × 21 = 882/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
30/21 = 30 × 8/21 × 8 = 240/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 882/168 > 240/168 or 42/8 > 30/21
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