Question

efetuando (¾ + ½):
$1 \frac{1}{4}$
obteremos que valor?​

Answer 1

Olá!

Primeiro vamos transformar a fração mista   $1\dfrac{1}{4}$   .

$1\dfrac{1}{4} ~=~\dfrac{4\cdot1+1}{4} ~=~\dfrac{4+1}{4}~=~\dfrac{5}{4}\\ \\ \\\\ 1\dfrac{1}{4} ~=~\boxed{\dfrac{5}{4}}$

Portanto precisamos efetuar:

$\left(\dfrac{3}{4}+\dfrac{1}{2} \right):\dfrac{5}{4}~~~~~~~\to ~~~~~~ \left(\dfrac{3+2}{4} \right)~:~\dfrac{5}{4}~~~~~~~\to ~~~~~~~~\dfrac{5}{4}~:\dfrac{5}{4} \\ \\ \\ \\ \dfrac{5}{4}~\cdot \dfrac{4}{5}~=~\dfrac{20}{20}~=~\boxed{1}$

Resposta:

$\left(\dfrac{3}{4}+\dfrac{1}{2} \right):1\dfrac{1}{4}~=~1$

:)