Compare 21/75 and 30/10
1st number: 21/75, 2nd number: 3 0/10
21/75 is smaller than 30/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 10 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 75 × 2 = 150,
21/75 = 21 × 2/75 × 2 = 42/150 - Likewise, for the 2nd fraction, since 10 × 15 = 150,
30/10 = 30 × 15/10 × 15 = 450/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/150 < 450/150 or 21/75 < 30/10
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