Add 35/42 and 75/27
1st number: 35/42, 2nd number: 2 21/27
35/42 + 75/27 is 65/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
35/42 = 35 × 9/42 × 9 = 315/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
75/27 = 75 × 14/27 × 14 = 1050/378 - Add the two like fractions:
315/378 + 1050/378 = 315 + 1050/378 = 1365/378 - 1365/378 simplified gives 65/18
- So, 35/42 + 75/27 = 65/18
In mixed form: 311/18
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