Change to a whole or mixed number (explain) or (show how you did it )

Carry out the division indicated by the fraction. When you do, you find you get a whole number quotient of 83 and a remainder of 3. Then the mixed number equivalent is ...

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If you do this on a calculator, it will give you the result 83.75. (Some calculators will give you the mixed number result directly, as in the second attachment.) If you don't already know that 0.75 = 3/4, you can multiply 0.75×4 and find the result is 3. (The 4 in this multiplication is the original denominator.)

As you know, 83.75 means 83 + 0.75, which is the same meaning as 83 3/4.

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Here, I have written mixed numbers in both the typeset form and the text form 83 3/4. When you use mixed numbers as part of a larger expression, I recommend putting parentheses around the number, so there is less confusion as to its meaning.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116