Add 35/45 and 21/49
35/45 + 21/49 is 76/63.
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,
35/45 = 35 × 49/45 × 49 = 1715/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
21/49 = 21 × 45/49 × 45 = 945/2205 - Add the two like fractions:
1715/2205 + 945/2205 = 1715 + 945/2205 = 2660/2205 - 2660/2205 simplified gives 76/63
- So, 35/45 + 21/49 = 76/63
In mixed form: 113/63
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