Question

2 1/3 + [( 3/2 + 4/9 × 2 1/4 )÷ 1/9 + 11/4 ]÷ 1/4​

Answer 1

Răspuns:

$\boxed{\boxed{\bf \frac{310}{3} }}$

Explicație pas cu pas:

$\mathbf{2 \frac{1}{3} + (( \frac{3}{2} + \frac{4}{9} \times 2 \frac{1}{4} ) \div \frac{1}{9} + \frac{11}{4} ) \div \frac{1}{4} }$

$\mathbf{ \frac{2 \times 3 + 1}{3} + (( \frac{3}{2} + \frac{4}{9} \times \frac{2 \times 4 + 1}{4} ) \div \frac{1}{9} + \frac{11}{4} ) \div \frac{1}{4} }$

$\mathbf{ \frac{6 + 1}{3} + (( \frac{3}{2} + \frac{1}{9} \times (8 + 1)) \times 9 + \frac{11}{4} ) \times 4}$

$\mathbf{ \frac{7}{3} + (( \frac{3}{2} + \frac{1}{9} \times 9) \times 9 + \frac{11}{4} ) \times 4}$

$\mathbf{ \frac{7}{ 3 } + (( \frac{3}{2} + 1) \times 9 + \frac{11}{4} ) \times 4}$

$\mathbf{ \frac{7}{3} + ( \frac{5}{2} \times 9 + \frac{11}{4}) \times 4 }$

$\mathbf{ \frac{7}{3} + ( \frac{45}{2} + \frac{11}{4} ) \times 4 }$

$\mathbf{ \frac{7}{3} + \frac{101}{4} \times 4 = \frac{7}{3} + 101 }$

$\mathbf{ \frac{7 + 303}{3} = \boxed{\boxed{\bf \frac{310}{ 3} }}}$

Bafta ! :)