Answer:
[tex]c=\dfrac{27}{40}\\[/tex]
Step-by-step explanation:
We are required to solve for c in the equation: [tex]\dfrac{1}{8}+c= \dfrac{4}{5}[/tex]
Step 1: Collect like terms
[tex]\dfrac{1}{8}+c= \dfrac{4}{5}\\c= \dfrac{4}{5}-\dfrac{1}{8}[/tex]
Step 2: Find the Lowest Common Multiple of the denominators
LCM of 8 and 5 is 40
Step 3: Multiply all through by 40
[tex]40c= \dfrac{4}{5}*40-\dfrac{1}{8}*40[/tex]
Step 4: Simplify
40c=32-5
40c=27
Step 5: Divide both sides by 40 and simplify if possible.
[tex]c=\dfrac{27}{40}\\[/tex]
