Calculator search results

Formula
Convert decimals to fractions
Answer
circle-check-icon
expand-arrow-icon
expand-arrow-icon
$2.7 \dot{ 3 } \dot{ 5 }$
$\dfrac { 1354 } { 495 }$
Convert the repeating decimal number to a fraction
$\color{#FF6800}{ 2.7 \dot{ 3 } \dot{ 5 } }$
$ $ Set the repeating decimal number to x $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ 2.7 \dot{ 3 } \dot{ 5 } }$
$\color{#FF6800}{ x } = \color{#FF6800}{ 2.7 \dot{ 3 } \dot{ 5 } }$
$ $ Multiply both sides by an appropriate power of 10 to make two expressions with the same part of the prime number $ $
$\begin{cases} \color{#FF6800}{ 1000 } \color{#FF6800}{ x } = \color{#FF6800}{ 2735. \dot{ 3 } \dot{ 5 } } \\ \color{#FF6800}{ 10 } \color{#FF6800}{ x } = \color{#FF6800}{ 27. \dot{ 3 } \dot{ 5 } } \end{cases}$
$\begin{cases} \color{#FF6800}{ 1000 } \color{#FF6800}{ x } = \color{#FF6800}{ 2735. \dot{ 3 } \dot{ 5 } } \\ \color{#FF6800}{ 10 } \color{#FF6800}{ x } = \color{#FF6800}{ 27. \dot{ 3 } \dot{ 5 } } \end{cases}$
$ $ Since the prime number part of the right side of the two expressions is the same, only the integer part remains $ $
$\color{#FF6800}{ 990 } \color{#FF6800}{ x } = \color{#FF6800}{ 2708 }$
$\color{#FF6800}{ 990 } \color{#FF6800}{ x } = \color{#FF6800}{ 2708 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { 1354 } { 495 } }$
Solution search results
search-thumbnail-$6\div \dfrac {9} {5}$ 
$2.6\div -$
7th-9th grade
Other
search-thumbnail-わり算と分数 る 
分数と小数整数前 
● 分数を小数枚や整数になおして 算しましょう。 
0 $\dfrac {1} {4}+2.5=$ $\dfrac {8} {10}+3.2$ 
の $2.1+\dfrac {3} {5}$ $\dfrac {4} {1}-3.7$ 
$0.7+\dfrac {7} {10}$ $0.9-\dfrac {2} {5}$ 
の$3-\dfrac {7} {4}$ $\dfrac {9} {3}-2.7$ 
$\dfrac {3} {4}+0.7$ $3.2$ $+\dfrac {11} {5}$ 
$2.7+\dfrac {7} {2}$ 2 $2.5-\dfrac {9} {10}$ 
$③$ $\dfrac {4} {1}-0.8$ @$\dfrac {19} {5}-2.4$ 
$⑤$ $\dfrac {7} {4}-0.7$
10th-13th grade
Other
search-thumbnail-
$3$ 
$\bar{5} $ 
$2.$
10th-13th grade
Algebra
search-thumbnail-$\left(2x\right)\dfrac {-1} {5}$ 
$2.\left(2x\right)\dfrac {1} {5}.$
10th-13th grade
Other
search-thumbnail-$t^{5}$ 
$2.5m0$ $x$ 
$\left(J$ $5,5xa$
7th-9th grade
Other
Have you found the solution you wanted?
Try again
Try more features at QANDA!
Search by problem image
Ask 1:1 question to TOP class teachers
AI recommend problems and video lecture
apple logogoogle play logo