Add 36/45 and 35/49
36/45 + 35/49 is 53/35.
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,
36/45 = 36 × 49/45 × 49 = 1764/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
35/49 = 35 × 45/49 × 45 = 1575/2205 - Add the two like fractions:
1764/2205 + 1575/2205 = 1764 + 1575/2205 = 3339/2205 - 3339/2205 simplified gives 53/35
- So, 36/45 + 35/49 = 53/35
In mixed form: 118/35
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