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

Răspuns :

Răspuns:

[tex]\boxed{\boxed{\bf \frac{310}{3} }}[/tex]

Explicație pas cu pas:

[tex]\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} }[/tex]

[tex]\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} }[/tex]

[tex]\mathbf{ \frac{6 + 1}{3} + (( \frac{3}{2} + \frac{1}{9} \times (8 + 1)) \times 9 + \frac{11}{4} ) \times 4}[/tex]

[tex]\mathbf{ \frac{7}{3} + (( \frac{3}{2} + \frac{1}{9} \times 9) \times 9 + \frac{11}{4} ) \times 4}[/tex]

[tex]\mathbf{ \frac{7}{ 3 } + (( \frac{3}{2} + 1) \times 9 + \frac{11}{4} ) \times 4}[/tex]

[tex]\mathbf{ \frac{7}{3} + ( \frac{5}{2} \times 9 + \frac{11}{4}) \times 4 }[/tex]

[tex]\mathbf{ \frac{7}{3} + ( \frac{45}{2} + \frac{11}{4} ) \times 4 }[/tex]

[tex]\mathbf{ \frac{7}{3} + \frac{101}{4} \times 4 = \frac{7}{3} + 101 }[/tex]

[tex]\mathbf{ \frac{7 + 303}{3} = \boxed{\boxed{\bf \frac{310}{ 3} }}}[/tex]

Bafta ! :)