Rešite 37/15div11/12-38/15=52/15*frac{124}{13}=

$$3 \frac { 7 } { 15 } \div 1 \frac { 1 } { 12 } - 3 \frac { 8 } { 15 } = \frac { 52 } { 15 } \times \frac { 124 } { 13 } =$$

Preveri

Koraki rešitve

Pomnožite obe strani enačbe z 195, najmanjšim skupnim mnogokratnikom števila 15,13.

$$180\times \frac{3\times 15+7}{15}-13\left(3\times 15+8\right)=676\times \frac{124}{13}$$

Pomnožite 3 in 15, da dobite 45.

$$180\times \frac{45+7}{15}-13\left(3\times 15+8\right)=676\times \frac{124}{13}$$

Seštejte 45 in 7, da dobite 52.

$$180\times \frac{52}{15}-13\left(3\times 15+8\right)=676\times \frac{124}{13}$$

Izrazite 180\times \frac{52}{15} kot enojni ulomek.

$$\frac{180\times 52}{15}-13\left(3\times 15+8\right)=676\times \frac{124}{13}$$

Pomnožite 180 in 52, da dobite 9360.

$$\frac{9360}{15}-13\left(3\times 15+8\right)=676\times \frac{124}{13}$$

Delite 9360 s/z 15, da dobite 624.

$$624-13\left(3\times 15+8\right)=676\times \frac{124}{13}$$

Pomnožite 3 in 15, da dobite 45.

$$624-13\left(45+8\right)=676\times \frac{124}{13}$$

Seštejte 45 in 8, da dobite 53.

$$624-13\times 53=676\times \frac{124}{13}$$

Pomnožite -13 in 53, da dobite -689.

$$624-689=676\times \frac{124}{13}$$

Odštejte 689 od 624, da dobite -65.

$$-65=676\times \frac{124}{13}$$

Izrazite 676\times \frac{124}{13} kot enojni ulomek.

$$-65=\frac{676\times 124}{13}$$

Pomnožite 676 in 124, da dobite 83824.

$$-65=\frac{83824}{13}$$

Delite 83824 s/z 13, da dobite 6448.

$$-65=6448$$

Primerjajte -65 in 6448.

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