Compare 30/45 and 21/5
1st number: 30/45, 2nd number: 4 1/5
30/45 is smaller than 21/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 5 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 45 × 1 = 45,
30/45 = 30 × 1/45 × 1 = 30/45 - Likewise, for the 2nd fraction, since 5 × 9 = 45,
21/5 = 21 × 9/5 × 9 = 189/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/45 < 189/45 or 30/45 < 21/5
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