Compare 2/3 and 21/45
2/3 is greater than 21/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 45 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 3 × 15 = 45,
2/3 = 2 × 15/3 × 15 = 30/45 - Likewise, for the 2nd fraction, since 45 × 1 = 45,
21/45 = 21 × 1/45 × 1 = 21/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/45 > 21/45 or 2/3 > 21/45
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