Add 84/45 and 35/49
1st number: 1 39/45, 2nd number: 35/49
84/45 + 35/49 is 271/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 49 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 45 × 49 = 2205,
84/45 = 84 × 49/45 × 49 = 4116/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
35/49 = 35 × 45/49 × 45 = 1575/2205 - Add the two like fractions:
4116/2205 + 1575/2205 = 4116 + 1575/2205 = 5691/2205 - 5691/2205 simplified gives 271/105
- So, 84/45 + 35/49 = 271/105
In mixed form: 261/105
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