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ExtremeBDS [4]
2 years ago
10

Divide 2/8 by 9/18 . Input your answer as a reduced fraction.\

Mathematics
2 answers:
Katen [24]2 years ago
8 0

\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{2}{8}\div\frac{9}{18}   }} \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf Simplify \ \frac{2}{8} \ to \ \frac{1}{4}. \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1}{4}\div\frac{18}{9}   }} \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule: a\div \frac{b}{c}=a\times \frac{c}{b}a \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1}{4}\times\frac{18}{9}   }} \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule: \frac{a}{b} \times \frac{c}d{}=\frac{ac}{bd}. \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1\times18}{4\times9} \ \to \ \ Multiply  }} \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{ \frac{18}{36}= }}\boxed{\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1}{2}  }} \end{gathered}$}} \end{gathered}$}

olya-2409 [2.1K]2 years ago
4 0

Answer:

1/2

Step-by-step explanation:

There is a couple ways of thinking about this.  Probably the fastest way is the rule, but the rule is not intuitive.  The rule is when you divide fraction, you keep the first fraction the same and then multiple and flip the second fraction.

2/8 x 18/9 = 36/72  To reduce the fraction, could keep dividing the top and the bottom by the same number until it is no longer possible, I could use: 2, 4 3, 9, 18, or 36.  If I used 36, I would only have to divide once.  36/16 is 1 and 72/36 is 2 so my answer would be 1/2.

I could have divided the top and bottom by 2 and got 18/36 and then divide by 2 again and get 9/18 and then by 9 and get 1/2.  As you can, see there are a lot of option.  

The second method is in the picture that I sent you, it is a little more work, but it makes sense.

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3 years ago
Find the x- and y-intercepts for the linear equation –3x + 4y = 24.
Sav [38]

Answer:

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Step-by-step explanation:

To find the x- intercept let y = 0 and solve for x

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tia_tia [17]

Answer:

A 90

Step-by-step explanation:

multiple ways to prove this.

e.g. since the angle between the two lines from the center of the circle to the 2 tangent touching points is 90 degrees (that is the meaning of these 90 degrees here as the angle of the circle segment defined by the 2 tangent touching points and the circle center), the tangents have the same "behavior" as tan and cot = the tangents at the norm circle at 0 and 90 degrees. they hit each other outside of the circle again at 90 degrees.

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the Hypotenuse of each triangle is cutting the 90 degree angle of the circle segment exactly in half (due to the symmetry principle). so the angle between radius side and Hypotenuse is 90/2 = 45 degrees.

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the angles of both right triangles at that point are the same, and so we can add 45+45 = 90 degrees for the total angle at the tangent crossing point.

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