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KATRIN_1 [288]
3 years ago
5

What is 0.4repeating as a fraction?

Mathematics
1 answer:
Marat540 [252]3 years ago
7 0

Answer:

11/25

Step-by-step explanation:

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Complete the table by converting each decimal to a fraction.
AlekseyPX

if you've read those links already, you'd know what we're doing here.

we'll move the repeating part to the left-side of the dot, by multiplying by "1" and as many zeros as needed, or 10 at some power pretty much.

on 0.13 we need 100 to get 13.13.... and on 0.1234, we need 10000 to get 1234.1234....


\bf 0.\overline{13}~\hspace{10em}x=0.\overline{13}
\\\\[-0.35em]
~\dotfill\\\\
\begin{array}{|lll|ll}
\cline{1-3}
&&\\
100\cdot 0.\overline{13}& = & 13.\overline{13}\\
100\cdot x&& 13 + 0.\overline{13}\\
100x&&13+x
\\&&\\
\cline{1-3}
\end{array}\implies \begin{array}{llll}
100x=13+x\implies 99x=13
\\\\
x=\cfrac{13}{99}
\end{array}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
0.\overline{1234}~\hspace{10em}x=0.\overline{1234}
\\\\[-0.35em]
~\dotfill


\bf \begin{array}{|ccc|ll}
\cline{1-3}
&&\\
10000\cdot 0.\overline{1234}&=&1234.\overline{1234}\\
10000\cdot x&=&1234+0.\overline{1234}\\
10000x&=&1234+x
\\&&\\
\cline{1-3}
\end{array}\implies \begin{array}{llll}
10000x=1234+x
\\\\
9999x=1234\implies x=\cfrac{1234}{9999}
\end{array}

7 0
3 years ago
Read 2 more answers
Standard form 6000000+80000+10
SIZIF [17.4K]
6,080,010 hope this helps you 

8 0
4 years ago
Read 2 more answers
a group of high school students is making a parade float by stuffing pieces of tissue paper into a right wire frame that use $15
bogdanovich [222]

b*h=area

3*2=6

8*7=56

56+6=62

They will need 62 tissues

Hope this helped :)


6 0
3 years ago
PLEASE HELP STAT AND FILL IN THE BLANKS
Reil [10]

Answer: So if Allison has 30 beads and each bracelet has 7. She would make 4 bracelets with 2 left over. The sentence would be If Alyson made 4 bracelets she would use 28 beads, leaving 2 left over.

Step-by-step explanation: 30/7 is 4 with a remainder of 2

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3 years ago
What is slope I need help finding the slope please help me
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The slope is 3 this is intergers solution the right side is positive and left side is negative

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