Question

{ 2 7/9 + [(1/3 - 1/4 ) ÷ (2/5 - 1/10)]}

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{\left\{\:2\:\dfrac{7}{9} + \left[\:\left(\:\dfrac{1}{3} - \dfrac{1}{4}\right) \div \left(\:\dfrac{2}{5} - \dfrac{1}{10}\right)\right]\right\}}}$

$\mathsf{\left\{\:\dfrac{25}{9} + \left[\:\left(\:\dfrac{1}{3} - \dfrac{1}{4}\right) \div \left(\:\dfrac{2}{5} - \dfrac{1}{10}\right)\right]\right\}}}$

$\mathsf{\left\{\:\dfrac{25}{9} + \left[\:\left(\:\dfrac{4 - 3}{12}\right) \div \left(\:\dfrac{4 - 1}{10}\right)\right]\right\}}}$

$\mathsf{\left\{\:\dfrac{25}{9} + \left[\:\:\dfrac{1}{12} \div \:\dfrac{3}{10}\right]\right\}}}$

$\mathsf{\left\{\:\dfrac{25}{9} + \left[\:\:\dfrac{1}{12} \times \:\dfrac{10}{3}\right]\right\}}}$

$\mathsf{\left\{\:\dfrac{25}{9} + \left[\:\:\dfrac{10}{36}\:\right]\right\}}}$

$\mathsf{\left\{\:\dfrac{100 + 10}{36}\right\}}}$

$\mathsf{\left\{\:\dfrac{110 \div 2}{36 \div 2}\right\}}}$

$\boxed{\boxed{\mathsf{\left\{\:\dfrac{55}{18}\right\}}}}}$