Add 36/45 and 21/49
36/45 + 21/49 is 43/35.
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,
21/49 = 21 × 45/49 × 45 = 945/2205 - Add the two like fractions:
1764/2205 + 945/2205 = 1764 + 945/2205 = 2709/2205 - 2709/2205 simplified gives 43/35
- So, 36/45 + 21/49 = 43/35
In mixed form: 18/35
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