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Formula
Convert decimals to fractions
Answer
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$2. \dot{ 2 } 3 \dot{ 5 }$
$\dfrac { 2233 } { 999 }$
Convert the repeating decimal number to a fraction
$\color{#FF6800}{ 2. \dot{ 2 } 3 \dot{ 5 } }$
$ $ Set the repeating decimal number to x $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ 2. \dot{ 2 } 3 \dot{ 5 } }$
$\color{#FF6800}{ x } = \color{#FF6800}{ 2. \dot{ 2 } 3 \dot{ 5 } }$
$ $ Multiply both sides by an appropriate power of 10 to make two expressions with the same part of the prime number $ $
$\begin{cases} \color{#FF6800}{ 1000 } \color{#FF6800}{ x } = \color{#FF6800}{ 2235. \dot{ 2 } 3 \dot{ 5 } } \\ \color{#FF6800}{ 1 } \color{#FF6800}{ x } = \color{#FF6800}{ 2. \dot{ 2 } 3 \dot{ 5 } } \end{cases}$
$\begin{cases} \color{#FF6800}{ 1000 } \color{#FF6800}{ x } = \color{#FF6800}{ 2235. \dot{ 2 } 3 \dot{ 5 } } \\ \color{#FF6800}{ 1 } \color{#FF6800}{ x } = \color{#FF6800}{ 2. \dot{ 2 } 3 \dot{ 5 } } \end{cases}$
$ $ Since the prime number part of the right side of the two expressions is the same, only the integer part remains $ $
$\color{#FF6800}{ 999 } \color{#FF6800}{ x } = \color{#FF6800}{ 2233 }$
$\color{#FF6800}{ 999 } \color{#FF6800}{ x } = \color{#FF6800}{ 2233 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { 2233 } { 999 } }$
Solution search results
search-thumbnail-$6\div \dfrac {9} {5}$ 
$2.6\div -$
7th-9th grade
Other
search-thumbnail-$1.20%$ $\dfrac {1} {5}$ 
$2.12.5%$ $\dfrac {25} {2}$ 
$3.350%$ 
$4.66.\bar{6} %$ $\dfrac {7} {2}$ 
$\dfrac {3833} {5000}$
10th-13th grade
Algebra
search-thumbnail-$1.$ $ \,_{7}C_{5} $ 
$2.$ $ \,_{9}C_{3} . \,_{6}C_{2} $ 
$3°$ $ \,_{4}C_{1} $ 
$4$ $ \,_{9}P_{5} $ 
$5.$ $ \,_{5}P_{4} $ $°$ $ \,_{7}P_{5} $
10th-13th grade
Algebra
search-thumbnail-$A$ Simplify each product. 
$1.\sqrt{2} \sqrt{5} $ $2.\sqrt{7} \sqrt{3} $ $3$ $\sqrt{11x} \sqrt{2x} $ $4.\sqrt{5a} \sqrt{3b} $ $5.4\sqrt{2} 3\sqrt{3} $
7th-9th grade
Other
search-thumbnail-
$3$ 
$\bar{5} $ 
$2.$
10th-13th grade
Algebra
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