Add 35/84 and 70/9
1st number: 35/84, 2nd number: 7 7/9
35/84 + 70/9 is 295/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
35/84 = 35 × 3/84 × 3 = 105/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
70/9 = 70 × 28/9 × 28 = 1960/252 - Add the two like fractions:
105/252 + 1960/252 = 105 + 1960/252 = 2065/252 - 2065/252 simplified gives 295/36
- So, 35/84 + 70/9 = 295/36
In mixed form: 87/36
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