Question

Escreva na forma decimal o resultado da expressão ( 2/3 : 2/5 ) - ( 7/20 : 21/10 )

Answer 1

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$\sf{\left(\dfrac{2}{3}\div\dfrac{2}{5}\right)\div\left(\dfrac{7}{20}\div\dfrac{21}{10}\right)}\\\sf{\left(\dfrac{\backslash\!\!\!2}{3}\cdot\dfrac{5}{\backslash\!\!\!2}\right)\div\left(\dfrac{\diagdown\!\!\!7}{2\diagup\!\!\!0}\cdot\dfrac{1\diagup\!\!\!0}{\diagdown\!\!\!\!\!\!21_3}\right)}\\\sf{\left(\dfrac{5}{3}\right)\div\left(\dfrac{1}{6}\right)}\\\sf{\dfrac{5}{\diagdown\!\!\!3}\cdot\dfrac{\diagdown\!\!\!6^2}{1}=5\cdot2=\Large\boxed{\boxed{\boxed{\boxed{\sf 10}}}}}$