Find the difference between8/15 and 2/3 Show all calculations in your final answer.

Question

Find the difference between8/15 and 2/3 Show all calculations in your final answer.

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Thanh Hà 5 years 2021-07-28T18:53:56+00:00 1 Answers 23 views 0

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    2021-07-28T18:55:25+00:00

    Answer:

    • \frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}          

    Step-by-step explanation:

    • Let the value of a number ‘a’ be = 8/15
    • Let the value of a number ‘b’ be = 2/3

    The difference between the two numbers can be calculated by subtracting the numbers

    a-b=\frac{8}{15}-\left(\frac{-2}{3}\right)

    \mathrm{Remove\:parentheses}:\quad \left(a\right)=a

             =\frac{8}{15}-\frac{-2}{3}

    \mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}

              =\frac{8}{15}-\left(-\frac{2}{3}\right)

    \mathrm{Apply\:rule}\:-\left(-a\right)=a

              =\frac{8}{15}+\frac{2}{3}

    \mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

              =\frac{8+10}{15}

              =\frac{18}{15}

    \mathrm{Cancel\:the\:common\:factor:}\:3

               =\frac{6}{5}

    Thus,

    • \frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}                    

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )