Add 21/18 and 45/42
1st number: 1 3/18, 2nd number: 1 3/42
21/18 + 45/42 is 47/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
21/18 = 21 × 7/18 × 7 = 147/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
45/42 = 45 × 3/42 × 3 = 135/126 - Add the two like fractions:
147/126 + 135/126 = 147 + 135/126 = 282/126 - 282/126 simplified gives 47/21
- So, 21/18 + 45/42 = 47/21
In mixed form: 25/21
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