Add 45/18 and 40/21
1st number: 2 9/18, 2nd number: 1 19/21
45/18 + 40/21 is 185/42.
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,
45/18 = 45 × 7/18 × 7 = 315/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
40/21 = 40 × 6/21 × 6 = 240/126 - Add the two like fractions:
315/126 + 240/126 = 315 + 240/126 = 555/126 - 555/126 simplified gives 185/42
- So, 45/18 + 40/21 = 185/42
In mixed form: 417/42
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