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Mathematics
(4) 11 3 7 + 3 4 5 = 11 11(3)/(7)+3(4)/(5)=11
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To solve the equation 11 3 7 + 3 4 5 = 11 11(3)/(7)+3(4)/(5)=11, we can begin by converting the mixed numbers to improper fractions.
11 3 7 11(3)/(7) can be written as 11 × 7 + 3 7 = 80 7 (11 xx7+3)/(7)=(80)/(7).
3 4 5 3(4)/(5) can be written as 3 × 5 + 4 5 = 19 5 (3xx5+4)/(5)=(19)/(5).
Substituting these values, the equation becomes:
80 7 + 19 5 = 11 (80)/(7)+(19)/(5)=11
To add fractions with different denominators, we need to find a common denominator. In this case, we can use the least common multiple (LCM) of 7 and 5, which is 35.
80 7 5 5 = 400 35 (80)/(7)*(5)/(5)=(400)/(35)
19 5 7 7 = 133 35 (19)/(5)*(7)/(7)=(133)/(35)
Substituting these values, the equation becomes:
400 35 + 133 35 = 11 (400)/(35)+(133)/(35)=11
Now we can add the fractions:
533 35 = 11 (533)/(35)=11
To isolate the variable, we can multiply both sides by the reciprocal of the coefficient of the variable:
35 533 35 = 11 35 35*(533)/(35)=11*35
533 = 385 533=385
As 533 385 533!=385 , we get a contradiction.
Therefore, the given equation has no solution.
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