Compare 30/21 and 36/10
1st number: 1 9/21, 2nd number: 3 6/10
30/21 is smaller than 36/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 10 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 21 × 10 = 210,
30/21 = 30 × 10/21 × 10 = 300/210 - Likewise, for the 2nd fraction, since 10 × 21 = 210,
36/10 = 36 × 21/10 × 21 = 756/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/210 < 756/210 or 30/21 < 36/10
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