Compare 2/3 and 40/63
2/3 is greater than 40/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 63 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 3 × 21 = 63,
2/3 = 2 × 21/3 × 21 = 42/63 - Likewise, for the 2nd fraction, since 63 × 1 = 63,
40/63 = 40 × 1/63 × 1 = 40/63 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/63 > 40/63 or 2/3 > 40/63
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