Espressioni

(4/5 + 1/10)·(5/3)^2 - 1/18·(27/2) - (3/2 - 1)^2 + (1/2)^3=

=9/10·(25/9) - 3/4 - (1/2)^2 + 1/8=

=5/2 - 3/4 - 1/4 + 1/8=

=(5·4 - 3·2 - 1·2 + 1)/8=

=(20 - 6 - 2 + 1)/8= 13/8

((8+1)/10)*25/9-3/4-1/4+1/8

9/10*25/9 -((6+2-1)/8)

5/2-7/8 

(20-7)/8

13/8

Foto diritte?

(4/5 + 1/10) x (5/3)^2 - 1/18 x 27/2 - (3/2 - 1)^2  + (1/2)^3 =

potenze (5/3)^2 = 25/9; (1/2)^3 = 1/8;

[moltiplicazione:  1/18 x 27/2 = si semplificano 27 e 18 per 9;  1/2 x 3/2 = 3/4];

( 8/10 + 1/10) x 25/9 - 3/4 - (3/2 - 2/2)^2 + 1/8 =

= 9/10  x 25/9  - 3/4  - (1/2)^2 + 1/8 = 

[moltiplicazione.  9/10  x 25/9 = si semplificano 9 con 9, resta 1; per 5,  25 con 10 ;  1/2  * 5/1 = 5/2];

= 5/2 - 3/4 - 1/4 + 1/8 =     (mcm = 8);

= 20/8 - 6/8 - 2/8 + 1/8 =

= 13/8.

Ciao @francecsa

===============================================================

$\small \left(\dfrac{4}{5}+\dfrac{1}{10}\right)×\left(\dfrac{5}{3}\right)^2 - \dfrac{1}{\cancel{18}_2}×\dfrac{\cancel{27}^3}{2}-\left(\dfrac{3}{2}-1\right)^2+\left(\dfrac{1}{2}\right)^3 =$

$\small = \left(\dfrac{8+1}{10}\right)×\dfrac{25}{9} - \dfrac{1}{2}×\dfrac{3}{2}-\left(\dfrac{3-2}{2}\right)^2+\dfrac{1}{8} =$

$\small = \dfrac{\cancel9^1}{\cancel{10}_2}×\dfrac{\cancel{25}^5}{\cancel9_1} - \dfrac{3}{4}-\left(\dfrac{1}{2}\right)^2+\dfrac{1}{8} =$

$\small = \dfrac{1}{2}×\dfrac{5}{1} - \dfrac{3}{4}-\dfrac{1}{4}+\dfrac{1}{8} =$

$\small = \dfrac{5}{2} - \dfrac{3}{4}-\dfrac{1}{4}+\dfrac{1}{8} =$

$\small = \dfrac{20-6-2+1}{8} =$

$\small = \dfrac{13}{8} $