Riješi 31096/3109^5+710930/71095-610918/61095

$$\frac { 31096 } { 3109 ^ { 5 } } + \frac { 710930 } { 71095 } - \frac { 610918 } { 61095 }$$

Izračunaj

$$\frac{61181442791202370443052}{252335488222350596374152945}\approx 0,000242461$$

Koraci rješenja

Izračunajte koliko je 5 na 3109 da biste dobili 290471555368654549.

$$\frac{31096}{290471555368654549}+\frac{710930}{71095}-\frac{610918}{61095}$$

Skratite razlomak \frac{710930}{71095} na najmanje vrijednosti tako da izlučite i poništite 5.

$$\frac{31096}{290471555368654549}+\frac{142186}{14219}-\frac{610918}{61095}$$

Najmanji zajednički višekratnik brojeva 290471555368654549 i 14219 je 4130215045786899032231. Pretvorite \frac{31096}{290471555368654549} i \frac{142186}{14219} u razlomak s nazivnikom 4130215045786899032231.

$$\frac{442154024}{4130215045786899032231}+\frac{41300988571647515704114}{4130215045786899032231}-\frac{610918}{61095}$$

Budući da \frac{442154024}{4130215045786899032231} i \frac{41300988571647515704114}{4130215045786899032231} imaju isti nazivnik, zbrojite ih zbrajanjem njihovih brojnika.

$$\frac{442154024+41300988571647515704114}{4130215045786899032231}-\frac{610918}{61095}$$

Dodajte 442154024 broju 41300988571647515704114 da biste dobili 41300988571647957858138.

$$\frac{41300988571647957858138}{4130215045786899032231}-\frac{610918}{61095}$$

Najmanji zajednički višekratnik brojeva 4130215045786899032231 i 61095 je 252335488222350596374152945. Pretvorite \frac{41300988571647957858138}{4130215045786899032231} i \frac{610918}{61095} u razlomak s nazivnikom 252335488222350596374152945.

$$\frac{2523283896784831985342941110}{252335488222350596374152945}-\frac{2523222715342040782972498058}{252335488222350596374152945}$$

Budući da \frac{2523283896784831985342941110}{252335488222350596374152945} i \frac{2523222715342040782972498058}{252335488222350596374152945} imaju isti nazivnik, oduzmite ih oduzimanje njihovih brojnika.

$$\frac{2523283896784831985342941110-2523222715342040782972498058}{252335488222350596374152945}$$

Oduzmite 2523222715342040782972498058 od 2523283896784831985342941110 da biste dobili 61181442791202370443052.

$$\frac{61181442791202370443052}{252335488222350596374152945}$$

Faktor

$$\frac{2 ^ {2} \cdot 15295360697800592610763}{3 \cdot 5 \cdot 59 \cdot 241 \cdot 3109 ^ {5} \cdot 4073} = 0,00024246071459156426$$