Add 21/9 and 40/42
1st number: 2 3/9, 2nd number: 40/42
21/9 + 40/42 is 23/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 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 42 × 3 = 126,
40/42 = 40 × 3/42 × 3 = 120/126 - Add the two like fractions:
294/126 + 120/126 = 294 + 120/126 = 414/126 - 414/126 simplified gives 23/7
- So, 21/9 + 40/42 = 23/7
In mixed form: 32/7
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