Add 35/75 and 42/27
1st number: 35/75, 2nd number: 1 15/27
35/75 + 42/27 is 91/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 27 is 675
Next, find the equivalent fraction of both fractional numbers with denominator 675 - For the 1st fraction, since 75 × 9 = 675,
35/75 = 35 × 9/75 × 9 = 315/675 - Likewise, for the 2nd fraction, since 27 × 25 = 675,
42/27 = 42 × 25/27 × 25 = 1050/675 - Add the two like fractions:
315/675 + 1050/675 = 315 + 1050/675 = 1365/675 - 1365/675 simplified gives 91/45
- So, 35/75 + 42/27 = 91/45
In mixed form: 21/45
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