Add 30/45 and 21/49
30/45 + 21/49 is 23/21.
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,
30/45 = 30 × 49/45 × 49 = 1470/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
21/49 = 21 × 45/49 × 45 = 945/2205 - Add the two like fractions:
1470/2205 + 945/2205 = 1470 + 945/2205 = 2415/2205 - 2415/2205 simplified gives 23/21
- So, 30/45 + 21/49 = 23/21
In mixed form: 12/21
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