Compare 21/8 and 14/45
1st number: 2 5/8, 2nd number: 14/45
21/8 is greater than 14/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 8 × 45 = 360,
21/8 = 21 × 45/8 × 45 = 945/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
14/45 = 14 × 8/45 × 8 = 112/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 945/360 > 112/360 or 21/8 > 14/45
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