Issolvi 1/2(x+3)+3/4(2/3x-10/3)

$$\frac { 1 } { 2 } ( x + 3 ) + \frac { 3 } { 4 } ( \frac { 2 } { 3 } x - \frac { 10 } { 3 } )$$

Evalwa

$$x-1$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika \frac{1}{2} b'x+3.

$$\frac{1}{2}x+\frac{1}{2}\times 3+\frac{3}{4}\left(\frac{2}{3}x-\frac{10}{3}\right)$$

Immultiplika \frac{1}{2} u 3 biex tikseb \frac{3}{2}.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3}{4}\left(\frac{2}{3}x-\frac{10}{3}\right)$$

Uża l-propjetà distributtiva biex timmultiplika \frac{3}{4} b'\frac{2}{3}x-\frac{10}{3}.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3}{4}\times \frac{2}{3}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Immultiplika \frac{3}{4} b'\frac{2}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3\times 2}{4\times 3}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Annulla 3 fin-numeratur u d-denominatur.

$$\frac{1}{2}x+\frac{3}{2}+\frac{2}{4}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Naqqas il-frazzjoni \frac{2}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Immultiplika \frac{3}{4} b'-\frac{10}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{3\left(-10\right)}{4\times 3}$$

Annulla 3 fin-numeratur u d-denominatur.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{-10}{4}$$

Naqqas il-frazzjoni \frac{-10}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x-\frac{5}{2}$$

Ikkombina \frac{1}{2}x u \frac{1}{2}x biex tikseb x.

$$x+\frac{3}{2}-\frac{5}{2}$$

Billi \frac{3}{2} u \frac{5}{2} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$x+\frac{3-5}{2}$$

Naqqas 5 minn 3 biex tikseb -2.

$$x+\frac{-2}{2}$$

Iddividi -2 b'2 biex tikseb-1.

$$x-1$$

Espandi

$$x-1$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika \frac{1}{2} b'x+3.

$$\frac{1}{2}x+\frac{1}{2}\times 3+\frac{3}{4}\left(\frac{2}{3}x-\frac{10}{3}\right)$$

Immultiplika \frac{1}{2} u 3 biex tikseb \frac{3}{2}.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3}{4}\left(\frac{2}{3}x-\frac{10}{3}\right)$$

Uża l-propjetà distributtiva biex timmultiplika \frac{3}{4} b'\frac{2}{3}x-\frac{10}{3}.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3}{4}\times \frac{2}{3}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Immultiplika \frac{3}{4} b'\frac{2}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3\times 2}{4\times 3}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Annulla 3 fin-numeratur u d-denominatur.

$$\frac{1}{2}x+\frac{3}{2}+\frac{2}{4}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Naqqas il-frazzjoni \frac{2}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Immultiplika \frac{3}{4} b'-\frac{10}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{3\left(-10\right)}{4\times 3}$$

Annulla 3 fin-numeratur u d-denominatur.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{-10}{4}$$

Naqqas il-frazzjoni \frac{-10}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x-\frac{5}{2}$$

Ikkombina \frac{1}{2}x u \frac{1}{2}x biex tikseb x.

$$x+\frac{3}{2}-\frac{5}{2}$$

Billi \frac{3}{2} u \frac{5}{2} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$x+\frac{3-5}{2}$$

Naqqas 5 minn 3 biex tikseb -2.

$$x+\frac{-2}{2}$$

Iddividi -2 b'2 biex tikseb-1.

$$x-1$$