Question

Solve the equation. \dfrac18 + c = \dfrac45 8 1 ​ +c= 5 4 ​ start fraction, 1, divided by, 8, end fraction, plus, c, equals, start fraction, 4, divided by, 5, end fraction c=c=c, equals

Answer 1

27/40

Explanation:

Answer 2

`c=(27)/(40)\\`

Explanation:

We are required to solve for c in the equation:
`(1)/(8)+c= (4)/(5)`

Step 1: Collect like terms

`(1)/(8)+c= (4)/(5)\\c= (4)/(5)-(1)/(8)`

Step 2: Find the Lowest Common Multiple of the denominators

LCM of 8 and 5 is 40

Step 3: Multiply all through by 40

`40c= (4)/(5)*40-(1)/(8)*40`

Step 4: Simplify

40c=32-5

40c=27

Step 5: Divide both sides by 40 and simplify if possible.

`c=(27)/(40)\\`