# Simplify (9a+8x)/(8a)+(5a+6x)/(4a)+1

9a+8x8a+5a+6x4a+1
To write 5a+6x4a as a fraction with a common denominator, multiply by 22.
9a+8x8a+5a+6x4a⋅22+1
Write each expression with a common denominator of 8a, by multiplying each by an appropriate factor of 1.
Multiply 5a+6x4a and 22.
9a+8x8a+(5a+6x)⋅24a⋅2+1
Multiply 2 by 4.
9a+8x8a+(5a+6x)⋅28a+1
9a+8x8a+(5a+6x)⋅28a+1
Combine the numerators over the common denominator.
9a+8x+(5a+6x)⋅28a+1
Simplify the numerator.
Apply the distributive property.
9a+8x+5a⋅2+6x⋅28a+1
Multiply 2 by 5.
9a+8x+10a+6x⋅28a+1
Multiply 2 by 6.
9a+8x+10a+12x8a+1
19a+8x+12x8a+1
19a+20x8a+1
19a+20x8a+1
Simplify terms.
Write 1 as a fraction with a common denominator.
19a+20x8a+8a8a
Combine the numerators over the common denominator.
19a+20x+8a8a
27a+20x8a
27a+20x8a
Simplify (9a+8x)/(8a)+(5a+6x)/(4a)+1

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