Compare 3/10 and 45/21
1st number: 3/10, 2nd number: 2 3/21
3/10 is smaller than 45/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 21 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
3/10 = 3 × 21/10 × 21 = 63/210 - Likewise, for the 2nd fraction, since 21 × 10 = 210,
45/21 = 45 × 10/21 × 10 = 450/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/210 < 450/210 or 3/10 < 45/21
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