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1.2\overline{23} to fraction

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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Steps Examples

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convert to fraction 1.223

Solution

1211990

Decimal

1.22323…

Mixed Number

1221990

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Solution steps

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1.223

Let x=1.223

To eliminate decimal points, multiply by 10 for every digit after the decimal point

There is one digit to the right of the decimal point, therefore multiply by 10

10x=12.23

Multiply by 10 for every digit in the recurring part (23)

There are 2 digits in the recurring part, therefore multiply by 100

100· 10x=1223.23

Subtract the equations

100· 10· x=1223.23

−

10· x=12.23

100· 10x−10x=1223.23−12.23

Simplify left side: 990x

Simplify right side: 1211

990x=1211

Solve the equation: x=1211990

=1211990

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Notebook

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

1.2\overline{23} to fraction

Solution

Solution steps

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