Add 40/18 and 45/21
1st number: 2 4/18, 2nd number: 2 3/21
40/18 + 45/21 is 275/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
40/18 = 40 × 7/18 × 7 = 280/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
45/21 = 45 × 6/21 × 6 = 270/126 - Add the two like fractions:
280/126 + 270/126 = 280 + 270/126 = 550/126 - 550/126 simplified gives 275/63
- So, 40/18 + 45/21 = 275/63
In mixed form: 423/63
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