Pergunta
(1) Calaclor puis sim [ A=((7)/(5)-(3)/(2))-[(7)/(8)-((1)/(4).. B=(3)/(2) times (5)/(7)-(7)/(10) div (9)/(10) C=4-(1)/(9) times(3+(1)/(3)) ]
Solução
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VitorVeterano · Tutor por 9 anos
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لنقم بحساب القيمتين A و B و C:<br /><br />A:<br />\[<br />\begin{aligned}<br />A &= \left(\frac{7}{5} - \frac{3}{2}\right) - \left[\frac{7}{8} - \left(\frac{1}{4}\right)\right] \\<br />&= \left(\frac{14}{10} - \frac{15}{10}\right) - \left[\frac{7}{8} - \frac{2}{8}\right] \\<br />&= \left(-\frac{1}{10}\right) - \left(\frac{5}{8}\right) \\<br />&= -\frac{1}{10} - \frac{5}{8} \\<br />&= -\frac{8}{80} - \frac{50}{80} \\<br />&= -\frac{58}{80} \\<br />&= -\frac{29}{40}<br />\end{aligned}<br />\]<br /><br />B:<br />\[<br />\begin{aligned}<br />B &= \frac{3}{2} \times \frac{5}{7} - \frac{7}{10} \div \frac{9}{10} \\<br />&= \frac{15}{14} - \frac{7}{10} \times \frac{10}{9} \\<br />&= \frac{15}{14} - \frac{7}{9} \\<br />&= \frac{135}{126} - \frac{98}{126} \\<br />&= \frac{37}{126}<br />\end{aligned}<br />\]<br /><br />C:<br />\[<br />\begin{aligned}<br />C &= 4 - \frac{1}{9} \times \left(3 + \frac{1}{3}\right) \\<br />&= 4 - \frac{1}{9} \times \frac{10}{3} \\<br />&= 4 - \frac{10}{27} \\<br />&= \frac{108}{27} - \frac{10}{27} \\<br />&= \frac{98}{27}<br />\end{aligned}<br />\]<br /><br />إذاً، القيمتين A و B و C هي:<br />A = -\frac{29}{40}<br />B = \frac{37}{126}<br />C = \frac{98}{27}
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