Add 10/45 and 84/49
1st number: 10/45, 2nd number: 1 35/49
10/45 + 84/49 is 122/63.
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,
10/45 = 10 × 49/45 × 49 = 490/2205 - Likewise, for the 2nd fraction, since 49 × 45 = 2205,
84/49 = 84 × 45/49 × 45 = 3780/2205 - Add the two like fractions:
490/2205 + 3780/2205 = 490 + 3780/2205 = 4270/2205 - 4270/2205 simplified gives 122/63
- So, 10/45 + 84/49 = 122/63
In mixed form: 159/63
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