Simplify (5+5k)/4+(1+k)/8

Math
5+5k4+1+k8
Factor 5 out of 5+5k.
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Factor 5 out of 5.
5⋅1+5k4+1+k8
Factor 5 out of 5⋅1+5k.
5(1+k)4+1+k8
5(1+k)4+1+k8
To write 5(1+k)4 as a fraction with a common denominator, multiply by 22.
5(1+k)4⋅22+1+k8
Write each expression with a common denominator of 8, by multiplying each by an appropriate factor of 1.
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Multiply 5(1+k)4 and 22.
5(1+k)⋅24⋅2+1+k8
Multiply 4 by 2.
5(1+k)⋅28+1+k8
5(1+k)⋅28+1+k8
Combine the numerators over the common denominator.
5(1+k)⋅2+1+k8
Simplify the numerator.
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Apply the distributive property.
(5⋅1+5k)⋅2+1+k8
Multiply 5 by 1.
(5+5k)⋅2+1+k8
Apply the distributive property.
5⋅2+5k⋅2+1+k8
Multiply 5 by 2.
10+5k⋅2+1+k8
Multiply 2 by 5.
10+10k+1+k8
Add 10 and 1.
10k+11+k8
Add 10k and k.
11k+118
Factor 11 out of 11k+11.
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Factor 11 out of 11k.
11(k)+118
Factor 11 out of 11.
11(k)+11(1)8
Factor 11 out of 11(k)+11(1).
11(k+1)8
11(k+1)8
11(k+1)8
Simplify (5+5k)/4+(1+k)/8

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