Add 27/75 and 84/35
1st number: 27/75, 2nd number: 2 14/35
27/75 + 84/35 is 69/25.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 35 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
27/75 = 27 × 7/75 × 7 = 189/525 - Likewise, for the 2nd fraction, since 35 × 15 = 525,
84/35 = 84 × 15/35 × 15 = 1260/525 - Add the two like fractions:
189/525 + 1260/525 = 189 + 1260/525 = 1449/525 - 1449/525 simplified gives 69/25
- So, 27/75 + 84/35 = 69/25
In mixed form: 219/25
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