Compare 9/14 and 30/45
9/14 is smaller than 30/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 14 × 45 = 630,
9/14 = 9 × 45/14 × 45 = 405/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
30/45 = 30 × 14/45 × 14 = 420/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 405/630 < 420/630 or 9/14 < 30/45
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