Answer:
The simplified expression is
[tex]\frac{4}{5}(\frac{1}{4}c-5)=\frac{c}{5}-4[/tex]
Step-by-step explanation:
Given expression is
[tex]\frac{4}{5}(\frac{1}{4}c-5)[/tex]
To simplify the given expression:
[tex]\frac{4}{5}(\frac{1}{4}c-5)[/tex]
[tex]\frac{4}{5}(\frac{1}{4}c-5)=(\frac{4}{5}\times \frac{1}{4}c)-(\frac{4}{5}\times 5)[/tex] ( here using the distributive property )
[tex]=(\frac{1}{5}c)-(4\times 1)[/tex] (simplify the factors )
[tex]=\frac{1}{5}c-4[/tex] or
[tex]=\frac{c}{5}-4[/tex]
Therefore the simplified expression is
[tex]\frac{4}{5}(\frac{1}{4}c-5)=\frac{c}{5}-4[/tex]
