Answer: [tex]1.0625\ pounds[/tex] or [tex]\frac{17}{16}\ pounds[/tex]
Step-by-step explanation:
The complete exercise is: "A chicken salad recipe calls for [tex]\frac{1}{8}[/tex] pound of chicken per serving . How many pounds of chicken are needed to make [tex]8\frac{1}{2}[/tex] serving".
You can convert the Mixed number to a Decimal number. Divide the numerator 1 by the denominator 2 and then add the quotient to the Whole number. Then, you get:
[tex]8+0.5=8.5[/tex]
Now divide the numerator 1 by the denominator 8 to write the fraction to a Decimal number. Then:
[tex]\frac{1}{8}= 0.125[/tex]
Let be "x" the amount of pounds are needed to make [tex]8\frac{1}{2}[/tex] serving.
Then, you can set up the following proportion:
[tex]\frac{1}{0.125}=\frac{8.5}{x}[/tex]
Solving for "x", you get:
[tex]\frac{1}{0.125}=\frac{8.5}{x}\\\\x(\frac{1}{0.125})=8.5\\\\x=8.5*0.125\\\\x=1.0625[/tex]
or [tex]\frac{17}{16}\ pounds[/tex]
