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8 1/3 divided by x=2 1/3 divided by 8.1

User Asawilliams
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2 Answers

18 votes
18 votes

Final answer:

To solve this equation, convert the mixed numbers to improper fractions. Multiply both sides of the equation by the reciprocal of 8.1 and solve for x.

Step-by-step explanation:

To solve this equation, we can start by converting the mixed numbers into improper fractions. 8 1/3 is equivalent to 25/3 and 2 1/3 is equivalent to 7/3. So, the equation becomes (25/3) / x = (7/3) / 8.1.

Next, we can multiply both sides of the equation by the reciprocal of 8.1, which is 1/8.1, to isolate x. This gives us (25/3) / x = (7/3) * (1/8.1).

Simplifying the expression on the right side and cross-multiplying, we get 25 / 3x = 7 / (3 * 8.1). Solving for x, we find x = (25 * 3 * 8.1) / (7 * 3).

User Gary Sharpe
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20 votes
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Answer:


\large\boxed{\tt x \approx 28.9 \overline{285714}.}

Step-by-step explanation:


\textsf{We are asked to solve for x in the given equation.}


\large\underline{\textsf{What are Equations?}}


\textsf{Equations are statements that determine 2 or more expressions are equal.}


\underline{\textsf{This means that;}}


\tt (8 (1)/(3) )/(x) \ is \ equal \ to \ (2 (1)/(3) )/(8.1)


\textsf{For equations, rather \underline{proportions} such as these, we should \underline{Cross Multiply}.}


\large\underline{\textsf{What are Proportions?}}


\textsf{Proportions are comparisons to the size, and how large/small a value is.}


\large\underline{\textsf{What is the Cross Multiplying?}}


\textsf{Cross multiplying is indeed as simple as it sounds, basically multiply the oppsite}


\textsf{known value by another known value, then divide the product by last known}


\textsf{number. This sounds like a lot, but I'll give an example.}


\underline{\textsf{Example;}}


\tt (1)/(3) = (2)/(x)


\textsf{We are asked to find x in the given proportion. We should use the cross}


\textsf{multiplication method. Note that we should multiply the known values that are}


\textsf{on opposite sides, and leave the known value with x as its opposite value alone}


\textsf{until we have our product.}


\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x}


\textsf{3 and 2 are opposite from each other, hence we'll multiply them.}


\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x} \rightarrow (6)/(1) = x


\textsf{We'll divide by the last remaining known value, 1, then that should be the value}


\textsf{of x.}


\tt x = 6


\large\underline{\textsf{Solving;}}


\textsf{Use the Cross Multiplication Method.}


\tt (8 (1)/(3) )/(x) = (2 (1)/(3) )/(8.1)


\tt 8 (1)/(3) \ \textsf{and} \ \tt 8.1 \ \textsf{are opposite from each other, which means we will multiply those}


\textsf{values together.}


\tt \frac{ \small\boxed{\tt 8 (1)/(3)} }{x} = \frac{2 (1)/(3) }{\small\boxed{\tt 8.1}} \rightarrow 67.5.


\textsf{Our product is 67.5, which means we are ready to divide 67.5 by 2} \tt (1)/(3) .


\tt x = (67.5)/(2 (1)/(3) )


\textsf{This quotient is going to be irrational, hence I will round to 7 digits.}


\large\boxed{\tt x \approx 28.9 \overline{285714}.}

User Shamseer Ahammed
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2.6k points