# Find the Midpoint (8/3,-4/7) , (-5/9,6/5)

(83,-47) , (-59,65)
Use the midpoint formula to find the midpoint of the line segment.
(x1+x22,y1+y22)
Substitute in the values for (x1,y1) and (x2,y2).
(83-592,-47+652)
Simplify the numerator.
To write 83 as a fraction with a common denominator, multiply by 33.
(83⋅33-592,-47+652)
Write each expression with a common denominator of 9, by multiplying each by an appropriate factor of 1.
Multiply 83 and 33.
(8⋅33⋅3-592,-47+652)
Multiply 3 by 3.
(8⋅39-592,-47+652)
(8⋅39-592,-47+652)
Combine the numerators over the common denominator.
(8⋅3-592,-47+652)
Simplify the numerator.
Multiply 8 by 3.
(24-592,-47+652)
Subtract 5 from 24.
(1992,-47+652)
(1992,-47+652)
(1992,-47+652)
Multiply the numerator by the reciprocal of the denominator.
(199⋅12,-47+652)
Multiply 199⋅12.
Multiply 199 and 12.
(199⋅2,-47+652)
Multiply 9 by 2.
(1918,-47+652)
(1918,-47+652)
Simplify the numerator.
To write -47 as a fraction with a common denominator, multiply by 55.
(1918,-47⋅55+652)
To write 65 as a fraction with a common denominator, multiply by 77.
(1918,-47⋅55+65⋅772)
Write each expression with a common denominator of 35, by multiplying each by an appropriate factor of 1.
Multiply 47 and 55.
(1918,-4⋅57⋅5+65⋅772)
Multiply 7 by 5.
(1918,-4⋅535+65⋅772)
Multiply 65 and 77.
(1918,-4⋅535+6⋅75⋅72)
Multiply 5 by 7.
(1918,-4⋅535+6⋅7352)
(1918,-4⋅535+6⋅7352)
Combine the numerators over the common denominator.
(1918,-4⋅5+6⋅7352)
Simplify the numerator.
Multiply -4 by 5.
(1918,-20+6⋅7352)
Multiply 6 by 7.
(1918,-20+42352)
(1918,22352)
(1918,22352)
(1918,22352)
Multiply the numerator by the reciprocal of the denominator.
(1918,2235⋅12)
Cancel the common factor of 2.
Factor 2 out of 22.
(1918,2(11)35⋅12)
Cancel the common factor.
(1918,2⋅1135⋅12)
Rewrite the expression.
(1918,1135)
(1918,1135)
Find the Midpoint (8/3,-4/7) , (-5/9,6/5)

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