Question

Resolva a expressão 0,5 - 0,333....
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Answer 1

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$\large\boxed{\begin{array}{l}\sf 0,5=\dfrac{5\div5}{10\div5}=\dfrac{1}{2}\\\sf x=0,333...\cdot10\\\sf 10x=3,333...\\-\underline{\begin{cases}\sf 10x=3,\diagup\!\!\!3~\diagup\!\!\!3~\diagup\!\!\!3....\\\sf x=0,\diagup\!\!\!3~\diagup\!\!\!3~\diagup\!\!\!3....\end{cases}}\\\sf 9x=3\\\sf x=\dfrac{3\div3}{9\div3}\\\sf x=\dfrac{1}{3}\\\sf 0,5-0,333...=\dfrac{1}{2}-\dfrac{1}{3}=\dfrac{3-2}{6}\\\sf 0,5-0,333...=\dfrac{1}{6}\end{array}}\blue{\checkmark}$