Question

A 1440÷{30×[20+(49-35)×2]}

B 1/2^2 × 1/3+1/4:1/3​

Answer 1

Resposta:

1

Explicação passo-a-passo:

a

1 440 : { 30 * [ 20+ ( 49 - 35 ) * 2 ]}  =

Parenteses

49 -35 =  + 14

reescrevendo

1440 : {  30 *  [ 20 + 14  * 2 ] } =

multiplicação da chave >>>> 14* 2   = 28  >>>

reescrevendo

1440 :  { 30  *  [ 20 + 28 ] }  =

1440 : { 30  *  [ 20 + 28]} =

fazendo a chave

20 + 28 = 48

reescrevendo

1 440 : { 30  * 48 }  =

30 * 48 = 1 440 >>>>

reescrevendo

1 440 : 1 440  = 1 >>>>>>

Answer 2

a)

$1440\div\left\{30\times[20+(49-35)\times2]\right\}$

$1440\div\left\{30\times[20+14\times2]\right\}$

$1440\div\left\{30\times[20+28]\right\}$

$1440\div\left\{30\times48\right\}$

$1440\div\left\{1440\right\}$

$1440\div1440=1$

$1440\div\left\{30\times[20+(49-35)\times2]\right\} =1$

b)

$\frac{1}{{2}^{2}}\times\frac{1}{3}+\frac{1}{4}\div\frac{1}{3}$

$\frac{1}{4}\times\frac{1}{3}+\frac{1}{4}\times3$

$\frac{1}{12}+\frac{3}{4}$

$\frac{1+9}{12}=\frac{10\div2}{12\div2}=\frac{5}{6}$

$\boxed{\boxed{\frac{1}{{2}^{2}}\times\frac{1}{3}+\frac{1}{4}\div\frac{1}{3}=\frac{5}{6}}}$