Compare 45/21 and 40/9
1st number: 2 3/21, 2nd number: 4 4/9
45/21 is smaller than 40/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 9 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 21 × 3 = 63,
45/21 = 45 × 3/21 × 3 = 135/63 - Likewise, for the 2nd fraction, since 9 × 7 = 63,
40/9 = 40 × 7/9 × 7 = 280/63 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/63 < 280/63 or 45/21 < 40/9
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