Compare 7/21 and 4/10
7/21 is smaller than 4/10
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,
7/21 = 7 × 10/21 × 10 = 70/210 - Likewise, for the 2nd fraction, since 10 × 21 = 210,
4/10 = 4 × 21/10 × 21 = 84/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/210 < 84/210 or 7/21 < 4/10
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