Compare 45/20 and 30/42
1st number: 2 5/20, 2nd number: 30/42
45/20 is greater than 30/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
45/20 = 45 × 21/20 × 21 = 945/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
30/42 = 30 × 10/42 × 10 = 300/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 945/420 > 300/420 or 45/20 > 30/42
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