To get the decimal from a fraction, divide the numerator by the denominator

To get the decimal from a fraction, divide the numerator by the denominator

To get the decimal from a fraction, divide the numerator by the denominator

When 5 is divided by 11, the decimal is 0.45 repeating, with a 5 in the hundreths place. The key here is to recognize that 100 is an even number, and the 5 in 0.45 is two places to the right of the decimal point (2 also being an even number).

Rewrite so that both are in fraction form.

Convert the division sign to multiplication, and take the reciprocal of the 2nd term.

Just like any other equation, isolate your variable. Start by multiplying both sides by :

Now, this is the same as:

You know that is . You can intelligently rewrite this problem as:

, which is the same as:

Pure water would be 0% solution and pure solution would be 100%

V1P1 + V2P2 = VfPf

Let x = amount of water to add

x(0) + 2(0.80) = (x + 2)(0.50) which when solved gives x = 1.2 L

Just like any other equation, isolate your variable. Start by multiplying both sides by :

Now, this is the same as:

You know that is . You can intelligently rewrite this problem as:

, which is the same as:

Pure water would be 0% solution and pure solution would be 100%

V1P1 + V2P2 = VfPf

Let x = amount of water to add

x(0) + 2(0.80) = (x + 2)(0.50) which when solved gives x = 1.2 L

When 5 is divided by 11, the decimal is 0.45 repeating, with a 5 in the hundreths place. The key here is to recognize that 100 is an even number, and the 5 in 0.45 is two places to the right of the decimal point (2 also being an even number).