SOLUTION: problem#10 simplify each complex fraction (w+3)/(4w) divided by (w-3)/(2w) Problem #28 fungicides account for (1)/(10) of the pesticides used in the United States. The rati

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Question 70984: problem#10
simplify each complex fraction
(w+3)/(4w) divided by (w-3)/(2w)
Problem #28
fungicides account for (1)/(10) of the pesticides used in the United States. The ratio of fungicides to insecticides used in the United States can be written (1)/(10) divided by (1)/(4). Write this ratio in simplest form.
Problem #32
The combined resistence of two resistors R1 and R2 in a parallel circuit is given by the formula
Rt= (1)divided by (1)/(r1)+ (1)/(r2)
simplify the formula.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
problem#10
simplify each complex fraction
(w+3)/(4w) divided by (w-3)/(2w)
Remember when you divide fractions, you invert the dividing fraction & multiply:
:
%28%28w%2B3%29%29%2F%284w%29 * %282W%29%2F%28%28w-3%29%29
:
Cancel the 2w into the 4w and you have:
%28%28w%2B3%29%29%2F2 * 1%2F%28%28w-3%29%29 = %28%28w%2B3%29%29%2F%282%28w-3%29%29 about as simple as you can get it.
:
:
Problem #28
fungicides account for (1)/(10) of the pesticides used in the United States. The ratio of fungicides to insecticides used in the United States can be written (1)/(10) divided by (1)/(4). Write this ratio in simplest form.
:
Invert and multiply by the dividing fraction;
1%2F10 * 4%2F1 = 4%2F10 = 2%2F5
:
:
Problem #32
The combined resistance of two resistors R1 and R2 in a parallel circuit is given by the formula
Rt = (1)divided by (1)/(r1)+ (1)/(r2)
simplify the formula.
Rt = 1%2F%28%281%2F%28r1%29%29+%2B+%281%2F%28r2%29%29%29
:
Put the dividing fractions over a single denominator:
Rt = 1%2F%28%28r2+%2B+r1%29%2F%28r1%2Ar2%29%29
:
Invert the dividing fractions then multiply by 1 and you have;
rt = %28r1%2Ar2%29%2F%28r1+%2B+r2%29
:
The very familiar "product over sum" equation for 2 resistors in parallel.