Compare 10/30 and 10/18
10/30 is smaller than 10/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 18 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
10/30 = 10 × 3/30 × 3 = 30/90 - Likewise, for the 2nd fraction, since 18 × 5 = 90,
10/18 = 10 × 5/18 × 5 = 50/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/90 < 50/90 or 10/30 < 10/18
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