Compare 21/5 and 40/30
1st number: 4 1/5, 2nd number: 1 10/30
21/5 is greater than 40/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 30 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 5 × 6 = 30,
21/5 = 21 × 6/5 × 6 = 126/30 - Likewise, for the 2nd fraction, since 30 × 1 = 30,
40/30 = 40 × 1/30 × 1 = 40/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/30 > 40/30 or 21/5 > 40/30
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