Rešite frac{r_{1}}{100}+frac{v_{1}-v_{2}}{250}+frac{v_{3}}{200}+frac{v_{3}-v_{2}}{400}+frac{v_{3}-(v_{2}+128)}{500}

$$\frac { r _ { 1 } } { 100 } + \frac { v _ { 1 } - v _ { 2 } } { 250 } + \frac { v _ { 3 } } { 200 } + \frac { v _ { 3 } - v _ { 2 } } { 400 } + \frac { v _ { 3 } - ( v _ { 2 } + 128 ) } { 500 }$$

Ovrednoti

$$\frac{r_{1}}{100}+\frac{v_{1}}{250}+\frac{19v_{3}}{2000}-\frac{17v_{2}}{2000}-\frac{32}{125}$$

Kratka navodila za rešitev

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik 100 in 250 je 500. Pomnožite \frac{r_{1}}{100} s/z \frac{5}{5}. Pomnožite \frac{v_{1}-v_{2}}{250} s/z \frac{2}{2}.

$$\frac{5r_{1}}{500}+\frac{2\left(v_{1}-v_{2}\right)}{500}+\frac{v_{3}}{200}+\frac{v_{3}-v_{2}}{400}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

\frac{5r_{1}}{500} in \frac{2\left(v_{1}-v_{2}\right)}{500} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{5r_{1}+2\left(v_{1}-v_{2}\right)}{500}+\frac{v_{3}}{200}+\frac{v_{3}-v_{2}}{400}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

Izvedi množenje v 5r_{1}+2\left(v_{1}-v_{2}\right).

$$\frac{5r_{1}+2v_{1}-2v_{2}}{500}+\frac{v_{3}}{200}+\frac{v_{3}-v_{2}}{400}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik 500 in 200 je 1000. Pomnožite \frac{5r_{1}+2v_{1}-2v_{2}}{500} s/z \frac{2}{2}. Pomnožite \frac{v_{3}}{200} s/z \frac{5}{5}.

$$\frac{2\left(5r_{1}+2v_{1}-2v_{2}\right)}{1000}+\frac{5v_{3}}{1000}+\frac{v_{3}-v_{2}}{400}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

\frac{2\left(5r_{1}+2v_{1}-2v_{2}\right)}{1000} in \frac{5v_{3}}{1000} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{2\left(5r_{1}+2v_{1}-2v_{2}\right)+5v_{3}}{1000}+\frac{v_{3}-v_{2}}{400}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

Izvedi množenje v 2\left(5r_{1}+2v_{1}-2v_{2}\right)+5v_{3}.

$$\frac{10r_{1}+4v_{1}-4v_{2}+5v_{3}}{1000}+\frac{v_{3}-v_{2}}{400}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik 1000 in 400 je 2000. Pomnožite \frac{10r_{1}+4v_{1}-4v_{2}+5v_{3}}{1000} s/z \frac{2}{2}. Pomnožite \frac{v_{3}-v_{2}}{400} s/z \frac{5}{5}.

$$\frac{2\left(10r_{1}+4v_{1}-4v_{2}+5v_{3}\right)}{2000}+\frac{5\left(v_{3}-v_{2}\right)}{2000}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

\frac{2\left(10r_{1}+4v_{1}-4v_{2}+5v_{3}\right)}{2000} in \frac{5\left(v_{3}-v_{2}\right)}{2000} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{2\left(10r_{1}+4v_{1}-4v_{2}+5v_{3}\right)+5\left(v_{3}-v_{2}\right)}{2000}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

Izvedi množenje v 2\left(10r_{1}+4v_{1}-4v_{2}+5v_{3}\right)+5\left(v_{3}-v_{2}\right).

$$\frac{20r_{1}+8v_{1}-8v_{2}+10v_{3}+5v_{3}-5v_{2}}{2000}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

Združite podobne člene v 20r_{1}+8v_{1}-8v_{2}+10v_{3}+5v_{3}-5v_{2}.

$$\frac{20r_{1}+8v_{1}-13v_{2}+15v_{3}}{2000}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik 2000 in 500 je 2000. Pomnožite \frac{v_{3}-\left(v_{2}+128\right)}{500} s/z \frac{4}{4}.

$$\frac{20r_{1}+8v_{1}-13v_{2}+15v_{3}}{2000}+\frac{4\left(v_{3}-\left(v_{2}+128\right)\right)}{2000}$$

\frac{20r_{1}+8v_{1}-13v_{2}+15v_{3}}{2000} in \frac{4\left(v_{3}-\left(v_{2}+128\right)\right)}{2000} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{20r_{1}+8v_{1}-13v_{2}+15v_{3}+4\left(v_{3}-\left(v_{2}+128\right)\right)}{2000}$$

Izvedi množenje v 20r_{1}+8v_{1}-13v_{2}+15v_{3}+4\left(v_{3}-\left(v_{2}+128\right)\right).

$$\frac{20r_{1}+8v_{1}-13v_{2}+15v_{3}+4v_{3}-4v_{2}-512}{2000}$$

Združite podobne člene v 20r_{1}+8v_{1}-13v_{2}+15v_{3}+4v_{3}-4v_{2}-512.

$$\frac{20r_{1}+8v_{1}-17v_{2}+19v_{3}-512}{2000}$$

Razširi

$$\frac{r_{1}}{100}+\frac{v_{1}}{250}+\frac{19v_{3}}{2000}-\frac{17v_{2}}{2000}-\frac{32}{125}$$

Kratka navodila za rešitev

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik 100 in 250 je 500. Pomnožite \frac{r_{1}}{100} s/z \frac{5}{5}. Pomnožite \frac{v_{1}-v_{2}}{250} s/z \frac{2}{2}.

$$\frac{5r_{1}}{500}+\frac{2\left(v_{1}-v_{2}\right)}{500}+\frac{v_{3}}{200}+\frac{v_{3}-v_{2}}{400}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

\frac{5r_{1}}{500} in \frac{2\left(v_{1}-v_{2}\right)}{500} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{5r_{1}+2\left(v_{1}-v_{2}\right)}{500}+\frac{v_{3}}{200}+\frac{v_{3}-v_{2}}{400}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

Izvedi množenje v 5r_{1}+2\left(v_{1}-v_{2}\right).

$$\frac{5r_{1}+2v_{1}-2v_{2}}{500}+\frac{v_{3}}{200}+\frac{v_{3}-v_{2}}{400}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik 500 in 200 je 1000. Pomnožite \frac{5r_{1}+2v_{1}-2v_{2}}{500} s/z \frac{2}{2}. Pomnožite \frac{v_{3}}{200} s/z \frac{5}{5}.

$$\frac{2\left(5r_{1}+2v_{1}-2v_{2}\right)}{1000}+\frac{5v_{3}}{1000}+\frac{v_{3}-v_{2}}{400}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

\frac{2\left(5r_{1}+2v_{1}-2v_{2}\right)}{1000} in \frac{5v_{3}}{1000} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{2\left(5r_{1}+2v_{1}-2v_{2}\right)+5v_{3}}{1000}+\frac{v_{3}-v_{2}}{400}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

Izvedi množenje v 2\left(5r_{1}+2v_{1}-2v_{2}\right)+5v_{3}.

$$\frac{10r_{1}+4v_{1}-4v_{2}+5v_{3}}{1000}+\frac{v_{3}-v_{2}}{400}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik 1000 in 400 je 2000. Pomnožite \frac{10r_{1}+4v_{1}-4v_{2}+5v_{3}}{1000} s/z \frac{2}{2}. Pomnožite \frac{v_{3}-v_{2}}{400} s/z \frac{5}{5}.

$$\frac{2\left(10r_{1}+4v_{1}-4v_{2}+5v_{3}\right)}{2000}+\frac{5\left(v_{3}-v_{2}\right)}{2000}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

\frac{2\left(10r_{1}+4v_{1}-4v_{2}+5v_{3}\right)}{2000} in \frac{5\left(v_{3}-v_{2}\right)}{2000} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{2\left(10r_{1}+4v_{1}-4v_{2}+5v_{3}\right)+5\left(v_{3}-v_{2}\right)}{2000}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

Izvedi množenje v 2\left(10r_{1}+4v_{1}-4v_{2}+5v_{3}\right)+5\left(v_{3}-v_{2}\right).

$$\frac{20r_{1}+8v_{1}-8v_{2}+10v_{3}+5v_{3}-5v_{2}}{2000}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

Združite podobne člene v 20r_{1}+8v_{1}-8v_{2}+10v_{3}+5v_{3}-5v_{2}.

$$\frac{20r_{1}+8v_{1}-13v_{2}+15v_{3}}{2000}+\frac{v_{3}-\left(v_{2}+128\right)}{500}$$

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Najmanjši skupni mnogokratnik 2000 in 500 je 2000. Pomnožite \frac{v_{3}-\left(v_{2}+128\right)}{500} s/z \frac{4}{4}.

$$\frac{20r_{1}+8v_{1}-13v_{2}+15v_{3}}{2000}+\frac{4\left(v_{3}-\left(v_{2}+128\right)\right)}{2000}$$

\frac{20r_{1}+8v_{1}-13v_{2}+15v_{3}}{2000} in \frac{4\left(v_{3}-\left(v_{2}+128\right)\right)}{2000} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{20r_{1}+8v_{1}-13v_{2}+15v_{3}+4\left(v_{3}-\left(v_{2}+128\right)\right)}{2000}$$

Izvedi množenje v 20r_{1}+8v_{1}-13v_{2}+15v_{3}+4\left(v_{3}-\left(v_{2}+128\right)\right).

$$\frac{20r_{1}+8v_{1}-13v_{2}+15v_{3}+4v_{3}-4v_{2}-512}{2000}$$

Združite podobne člene v 20r_{1}+8v_{1}-13v_{2}+15v_{3}+4v_{3}-4v_{2}-512.

$$\frac{20r_{1}+8v_{1}-17v_{2}+19v_{3}-512}{2000}$$