Add 21/49 and 2/45
21/49 + 2/45 is 149/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 45 is 2205
Next, find the equivalent fraction of both fractional numbers with denominator 2205 - For the 1st fraction, since 49 × 45 = 2205,
21/49 = 21 × 45/49 × 45 = 945/2205 - Likewise, for the 2nd fraction, since 45 × 49 = 2205,
2/45 = 2 × 49/45 × 49 = 98/2205 - Add the two like fractions:
945/2205 + 98/2205 = 945 + 98/2205 = 1043/2205 - 1043/2205 simplified gives 149/315
- So, 21/49 + 2/45 = 149/315
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