Add 21/45 and 28/49
21/45 + 28/49 is 109/105.
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,
21/45 = 21 × 49/45 × 49 = 1029/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
28/49 = 28 × 45/49 × 45 = 1260/2205 - Add the two like fractions:
1029/2205 + 1260/2205 = 1029 + 1260/2205 = 2289/2205 - 2289/2205 simplified gives 109/105
- So, 21/45 + 28/49 = 109/105
In mixed form: 14/105
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