Câu hỏi của Linh Nguyễn Khánh

Question

subjects · Accepted Answer

$a.\frac47-\frac47:\frac{5}{14}=\frac47-\frac47\cdot\frac{14}{5}$

$=\frac47\cdot\left(1-\frac{14}{5}\right)=\frac47\cdot\left(-\frac95\right)=-\frac{36}{35}$

$b.\left(-\frac57\right)^2+8\cdot\left(0,5\right)^3+\left(-1\right)^{2025}=\frac{25}{49}+8\cdot0,125-1$

$=\frac{25}{49}+1-1=\frac{25}{49}$

$c.\left(1-\frac35\right)^2-\left(-\frac34\right)+\left(-\frac{13}{10}\right)=\left(\frac25\right)^2+\frac34-\frac{13}{10}$

$=\frac{4}{25}+\frac34-\frac{13}{10}=\frac{16}{100}+\frac{75}{100}-\frac{130}{100}=\frac{16+75-130}{100}=-\frac{39}{100}$

$d.\left(-\frac35+\frac49\right):\frac{7}{11}+\left(-\frac25+\frac59\right):\frac{7}{11}=-\frac{7}{45}\cdot\frac{11}{7}+\frac{7}{45}\cdot\frac{11}{7}$

$=\frac{11}{7}\cdot\left(\frac{7}{45}-\frac{7}{45}\right)=\frac{11}{7}\cdot0=0$

Câu trả lời:

$a.\frac47-\frac47:\frac{5}{14}=\frac47-\frac47\cdot\frac{14}{5}$

$=\frac47\cdot\left(1-\frac{14}{5}\right)=\frac47\cdot\left(-\frac95\right)=-\frac{36}{35}$

$b.\left(-\frac57\right)^2+8\cdot\left(0,5\right)^3+\left(-1\right)^{2025}=\frac{25}{49}+8\cdot0,125-1$

$=\frac{25}{49}+1-1=\frac{25}{49}$

$c.\left(1-\frac35\right)^2-\left(-\frac34\right)+\left(-\frac{13}{10}\right)=\left(\frac25\right)^2+\frac34-\frac{13}{10}$

$=\frac{4}{25}+\frac34-\frac{13}{10}=\frac{16}{100}+\frac{75}{100}-\frac{130}{100}=\frac{16+75-130}{100}=-\frac{39}{100}$

$d.\left(-\frac35+\frac49\right):\frac{7}{11}+\left(-\frac25+\frac59\right):\frac{7}{11}=-\frac{7}{45}\cdot\frac{11}{7}+\frac{7}{45}\cdot\frac{11}{7}$

$=\frac{11}{7}\cdot\left(\frac{7}{45}-\frac{7}{45}\right)=\frac{11}{7}\cdot0=0$

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