Question

Express each of the following as a fraction in simplest form. (vii) 0.5bar(4)​

Answer 1

Step-by-step explanation:

Let x =0.5 bar

As there is one number under bar, multiply by 10 on both sides,

$\tt \color{red}{ 10 \times x=10×0.5 \: bar}$

$\tt \color{purple}10x=5.5bar$

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$\tt\: Subtract \: x \: from \: \: both \: \: sides$

$\tt \color{green}10x = 5.5 bar$

$\tt \color{orange}-x = -0.5 bar$

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9x = 5[ bar cancelled]

x = 5/9

Now,

$\tt \color{magenta}0.5bar \: in \: p/q \: from \: is \: 5/9$

Answer 2

Answer:

Step-by-step explanation:

Let x =0.5 bar

As there is one number under bar, multiply by 10 on both sides,

$</p><p>\tt \color{red}{ 10 \times x=10×0.5 \: bar}10×x=10×0.5bar$

$\tt \color{purple}10x=5.5bar10x=5.5bar$

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$\tt\: Subtract \: x \: from \: \: both \: \: sidesSubtractxfrombothsides$

$\tt \color{green}10x = 5.5 bar10x=5.5bar$

$\tt \color{orange}-x = -0.5 bar−x=−0.5bar$

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9x = 5[ bar cancelled]

x = 5/9

Now,

$\tt \color{magenta}0.5bar \: in \: p/q \: from \: is \: 5/90.5barinp/qfromis5/9$