Add 49/45 and 35/49
1st number: 1 4/45, 2nd number: 35/49
49/45 + 35/49 is 568/315.
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,
49/45 = 49 × 49/45 × 49 = 2401/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
35/49 = 35 × 45/49 × 45 = 1575/2205 - Add the two like fractions:
2401/2205 + 1575/2205 = 2401 + 1575/2205 = 3976/2205 - 3976/2205 simplified gives 568/315
- So, 49/45 + 35/49 = 568/315
In mixed form: 1253/315
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