Add 7/45 and 84/49
1st number: 7/45, 2nd number: 1 35/49
7/45 + 84/49 is 589/315.
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,
7/45 = 7 × 49/45 × 49 = 343/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
84/49 = 84 × 45/49 × 45 = 3780/2205 - Add the two like fractions:
343/2205 + 3780/2205 = 343 + 3780/2205 = 4123/2205 - 4123/2205 simplified gives 589/315
- So, 7/45 + 84/49 = 589/315
In mixed form: 1274/315
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