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snow_lady [41]
3 years ago
10

4 divided by 5/9. Please answer in fraction form.

Mathematics
2 answers:
Debora [2.8K]3 years ago
8 0
20/9 is the answer since it is the answer
irina1246 [14]3 years ago
4 0

Answer: 20/9

Step-by-step explanation:

Turn 4 into a fraction so 4/1

When dividing, flip the second fraction over then multiply them both, so

4/1 x 5/9

That is 4 x 5 / 1 x 9

Which is 20/9

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Check the picture below.

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\bf \left. \qquad  \right.\textit{internal division of a line segment}&#10;\\\\\\&#10;R(-14,-1)\qquad T(4,-13)\qquad \qquad 1:5&#10;\\\\\\&#10;\cfrac{RS}{ST} = \cfrac{1}{5}\implies \cfrac{R}{T} = \cfrac{1}{5}\implies 5R=1T&#10;\implies &#10;5(-14,-1)=1(4,-13)\\\\&#10;-------------------------------\\\\

\bf { S=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\\&#10;-------------------------------\\\\&#10;S=\left(\cfrac{(5\cdot -14)+(1\cdot 4)}{1+5}\quad ,\quad \cfrac{(5\cdot -1)+(1\cdot -13)}{1+5}\right)

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