Solve the system of equations 2x-y=1; x+2y=8 graphically and find the coordinates of the points where corresponding lines intersect y-axis.
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Convert decimals to fractions
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$\dfrac { 17 } { 45 }$
Convert the repeating decimal number to a fraction
$\color{#FF6800}{ 0.3 \dot{ 7 } }$
$ $ Set the repeating decimal number to x $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ 0.3 \dot{ 7 } }$
$\color{#FF6800}{ x } = \color{#FF6800}{ 0.3 \dot{ 7 } }$
$ $ Multiply both sides by an appropriate power of 10 to make two expressions with the same part of the prime number $ $
$\begin{cases} \color{#FF6800}{ 100 } \color{#FF6800}{ x } = \color{#FF6800}{ 37. \dot{ 7 } } \\ \color{#FF6800}{ 10 } \color{#FF6800}{ x } = \color{#FF6800}{ 3. \dot{ 7 } } \end{cases}$
$\begin{cases} \color{#FF6800}{ 100 } \color{#FF6800}{ x } = \color{#FF6800}{ 37. \dot{ 7 } } \\ \color{#FF6800}{ 10 } \color{#FF6800}{ x } = \color{#FF6800}{ 3. \dot{ 7 } } \end{cases}$
$ $ Since the prime number part of the right side of the two expressions is the same, only the integer part remains $ $
$\color{#FF6800}{ 90 } \color{#FF6800}{ x } = \color{#FF6800}{ 34 }$
$\color{#FF6800}{ 90 } \color{#FF6800}{ x } = \color{#FF6800}{ 34 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { \color{#FF6800}{ 17 } } { \color{#FF6800}{ 45 } } }$
Solution search results
Task 3 Visualize the following multiplication of fraction using Learning models. Then solve. $1\right)\dfrac {7} {9}$ $x$ $\dfrac {5} {8}$ 2) $4\times \dfrac {1} {a}$ 3) 12 0 6) $4\right)$ $4x$ $\dfrac {5} {6}$ 5) 5 $9$ $\times -$ $Lcaxn1ne$ $.$ 4. Multiply the following fractions. Wrte your an- swer $1ny00$ $n0\left(cb0o$ 6. $\dfrac {2} {3}x\dfrac {4} {5}x8$ $1$ $\dfrac {6} {7}x\dfrac {1} {7}x5$ 7. $\dfrac {2} {3}x\dfrac {1} {4}x9$ 8. $\dfrac {3} {8}\times \dfrac {7} {9}\times 2$ $2$ $2-\times -x$ $-x-$ $-x-x$ $3$ $5$ $-x-$ $9$ $\dfrac {2} {5}x\dfrac {3} {6}x4$ 10. $\dfrac {1} {2}x\dfrac {3} {4}x5$ $o$ $44cC$ $g4$ $0$
1st-6th grade
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