Compare 10/30 and 4/10
10/30 is smaller than 4/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 10 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 30 × 1 = 30,
10/30 = 10 × 1/30 × 1 = 10/30 - Likewise, for the 2nd fraction, since 10 × 3 = 30,
4/10 = 4 × 3/10 × 3 = 12/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 10/30 < 12/30 or 10/30 < 4/10
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