Compare 2/14 and 28/45
2/14 is smaller than 28/45
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,
2/14 = 2 × 45/14 × 45 = 90/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
28/45 = 28 × 14/45 × 14 = 392/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/630 < 392/630 or 2/14 < 28/45
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