Rešite (1213/25+78/17)25+(99/17+1012/25)2frac{1}{2}

$$(12 \frac{ 13 }{ 25 } +7 \frac{ 8 }{ 17 } )25+(9 \frac{ 9 }{ 17 } +10 \frac{ 12 }{ 25 } )2 \frac{ 1 }{ 2 }$$

Ovrednoti

$$\frac{46732}{85}\approx 549,788235294$$

Koraki rešitve

Pomnožite 12 in 25, da dobite 300.

$$\left(\frac{300+13}{25}+\frac{7\times 17+8}{17}\right)\times 25+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Seštejte 300 in 13, da dobite 313.

$$\left(\frac{313}{25}+\frac{7\times 17+8}{17}\right)\times 25+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Pomnožite 7 in 17, da dobite 119.

$$\left(\frac{313}{25}+\frac{119+8}{17}\right)\times 25+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Seštejte 119 in 8, da dobite 127.

$$\left(\frac{313}{25}+\frac{127}{17}\right)\times 25+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Najmanjši skupni mnogokratnik 25 in 17 je 425. Pretvorite \frac{313}{25} in \frac{127}{17} v ulomke z imenovalcem 425.

$$\left(\frac{5321}{425}+\frac{3175}{425}\right)\times 25+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

\frac{5321}{425} in \frac{3175}{425} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{5321+3175}{425}\times 25+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Seštejte 5321 in 3175, da dobite 8496.

$$\frac{8496}{425}\times 25+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Izrazite \frac{8496}{425}\times 25 kot enojni ulomek.

$$\frac{8496\times 25}{425}+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Pomnožite 8496 in 25, da dobite 212400.

$$\frac{212400}{425}+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Zmanjšajte ulomek \frac{212400}{425} na najmanjši imenovalec tako, da izpeljete in okrajšate 25.

$$\frac{8496}{17}+\left(\frac{9\times 17+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Pomnožite 9 in 17, da dobite 153.

$$\frac{8496}{17}+\left(\frac{153+9}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Seštejte 153 in 9, da dobite 162.

$$\frac{8496}{17}+\left(\frac{162}{17}+\frac{10\times 25+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Pomnožite 10 in 25, da dobite 250.

$$\frac{8496}{17}+\left(\frac{162}{17}+\frac{250+12}{25}\right)\times \frac{2\times 2+1}{2}$$

Seštejte 250 in 12, da dobite 262.

$$\frac{8496}{17}+\left(\frac{162}{17}+\frac{262}{25}\right)\times \frac{2\times 2+1}{2}$$

Najmanjši skupni mnogokratnik 17 in 25 je 425. Pretvorite \frac{162}{17} in \frac{262}{25} v ulomke z imenovalcem 425.

$$\frac{8496}{17}+\left(\frac{4050}{425}+\frac{4454}{425}\right)\times \frac{2\times 2+1}{2}$$

\frac{4050}{425} in \frac{4454}{425} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{8496}{17}+\frac{4050+4454}{425}\times \frac{2\times 2+1}{2}$$

Seštejte 4050 in 4454, da dobite 8504.

$$\frac{8496}{17}+\frac{8504}{425}\times \frac{2\times 2+1}{2}$$

Pomnožite 2 in 2, da dobite 4.

$$\frac{8496}{17}+\frac{8504}{425}\times \frac{4+1}{2}$$

Seštejte 4 in 1, da dobite 5.

$$\frac{8496}{17}+\frac{8504}{425}\times \frac{5}{2}$$

Pomnožite \frac{8504}{425} s/z \frac{5}{2} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$\frac{8496}{17}+\frac{8504\times 5}{425\times 2}$$

Izvedite množenja v ulomku \frac{8504\times 5}{425\times 2}.

$$\frac{8496}{17}+\frac{42520}{850}$$

Zmanjšajte ulomek \frac{42520}{850} na najmanjši imenovalec tako, da izpeljete in okrajšate 10.

$$\frac{8496}{17}+\frac{4252}{85}$$

Najmanjši skupni mnogokratnik 17 in 85 je 85. Pretvorite \frac{8496}{17} in \frac{4252}{85} v ulomke z imenovalcem 85.

$$\frac{42480}{85}+\frac{4252}{85}$$

\frac{42480}{85} in \frac{4252}{85} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{42480+4252}{85}$$

Seštejte 42480 in 4252, da dobite 46732.

$$\frac{46732}{85}$$

Faktoriziraj

$$\frac{2 ^ {2} \cdot 7 \cdot 1669}{5 \cdot 17} = 549\frac{67}{85} = 549,7882352941176$$