Add 21/9 and 75/14
1st number: 2 3/9, 2nd number: 5 5/14
21/9 + 75/14 is 323/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 14 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
21/9 = 21 × 14/9 × 14 = 294/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
75/14 = 75 × 9/14 × 9 = 675/126 - Add the two like fractions:
294/126 + 675/126 = 294 + 675/126 = 969/126 - 969/126 simplified gives 323/42
- So, 21/9 + 75/14 = 323/42
In mixed form: 729/42
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