Question

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

Answer 1

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).

Answer 2

`\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}.}`