Question

Solve for h: h+4/-2=0.3 (
`h+(4)/(-2) =0.3`)

Give Explanation please.

Answer 1

Answer:
`h=(23)/(10) =2.300`

Explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

`h+(4)/(-2) -(((3)/(10) ))=0`

`Simplify~ (3)/(10)`

`(h+(4)/(-2) )-(3)/(10) =0`

Subtracting a fraction from a whole

Rewrite the whole as a fraction using 10 as the denominator :

`h-2=(h-2)/(1) =(h-2x10)/(10)`

Equivalent fraction: The fraction thus generated looks different but has the same value as the whole

Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to the lowest terms if possible:

`((h-2)x10-(3))/(10) =(10h-23)/(10)`

`(10h-23)/(10) =0`

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, CalderonJ multiplys both sides of the equation by the denominator.

Here's how:

`(10h-23)/(10) *10=0*10`

Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

10h-23 = 0

Add 23 to both sides of the equation :

10h = 23

Divide both sides of the equation by 10:

h = 23/10 = 2.300

Final Answer: 2.3(decimal form) aka 23/10 (fraction)