Add 40/49 and 84/36
1st number: 40/49, 2nd number: 2 12/36
40/49 + 84/36 is 463/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 36 is 1764
Next, find the equivalent fraction of both fractional numbers with denominator 1764 - For the 1st fraction, since 49 × 36 = 1764,
40/49 = 40 × 36/49 × 36 = 1440/1764 - Likewise, for the 2nd fraction, since 36 × 49 = 1764,
84/36 = 84 × 49/36 × 49 = 4116/1764 - Add the two like fractions:
1440/1764 + 4116/1764 = 1440 + 4116/1764 = 5556/1764 - 5556/1764 simplified gives 463/147
- So, 40/49 + 84/36 = 463/147
In mixed form: 322/147
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