Compare 10/30 and 30/45
10/30 is smaller than 30/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 45 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 45 × 2 = 90,
30/45 = 30 × 2/45 × 2 = 60/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/90 < 60/90 or 10/30 < 30/45
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