Atrisiniet (42/3+075)*39/13/(5frac{4{45}-41/6)div5frac{8}{15}}div34frac{2}{7}

$$\frac { ( 4 \frac { 2 } { 3 } + 075 ) \times 3 \frac { 9 } { 13 } } { ( 5 \frac { 4 } { 45 } - 4 \frac { 1 } { 6 } ) \div 5 \frac { 8 } { 15 } } \div 34 \frac { 2 } { 7 }$$

Izrēķināt

$$\frac{196}{65}\approx 3,015384615$$

Atrisinājuma darbības

Daliet \frac{\left(\frac{4\times 3+2}{3}+0\times 75\right)\times \frac{3\times 13+9}{13}}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}} ar \frac{34\times 7+2}{7}, reizinot \frac{\left(\frac{4\times 3+2}{3}+0\times 75\right)\times \frac{3\times 13+9}{13}}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}} ar apgriezto daļskaitli \frac{34\times 7+2}{7} .

$$\frac{\left(\frac{4\times 3+2}{3}+0\times 75\right)\times \frac{3\times 13+9}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Reiziniet 4 un 3, lai iegūtu 12.

$$\frac{\left(\frac{12+2}{3}+0\times 75\right)\times \frac{3\times 13+9}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Saskaitiet 12 un 2, lai iegūtu 14.

$$\frac{\left(\frac{14}{3}+0\times 75\right)\times \frac{3\times 13+9}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Reiziniet 0 un 75, lai iegūtu 0.

$$\frac{\left(\frac{14}{3}+0\right)\times \frac{3\times 13+9}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Saskaitiet \frac{14}{3} un 0, lai iegūtu \frac{14}{3}.

$$\frac{\frac{14}{3}\times \frac{3\times 13+9}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Reiziniet 3 un 13, lai iegūtu 39.

$$\frac{\frac{14}{3}\times \frac{39+9}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Saskaitiet 39 un 9, lai iegūtu 48.

$$\frac{\frac{14}{3}\times \frac{48}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Reiziniet \frac{14}{3} ar \frac{48}{13}, reizinot skaitītāju ar skaitītāju un saucēju ar saucēju.

$$\frac{\frac{14\times 48}{3\times 13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Veiciet reizināšanas darbības daļskaitlī \frac{14\times 48}{3\times 13}.

$$\frac{\frac{672}{39}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Vienādot daļskaitli \frac{672}{39} līdz mazākajam loceklim, izvelkot un saīsinot 3.

$$\frac{\frac{224}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Izsakiet \frac{224}{13}\times 7 kā vienu daļskaitli.

$$\frac{\frac{224\times 7}{13}}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Reiziniet 224 un 7, lai iegūtu 1568.

$$\frac{\frac{1568}{13}}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Reiziniet 5 un 45, lai iegūtu 225.

$$\frac{\frac{1568}{13}}{\frac{\frac{225+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Saskaitiet 225 un 4, lai iegūtu 229.

$$\frac{\frac{1568}{13}}{\frac{\frac{229}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Reiziniet 4 un 6, lai iegūtu 24.

$$\frac{\frac{1568}{13}}{\frac{\frac{229}{45}-\frac{24+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Saskaitiet 24 un 1, lai iegūtu 25.

$$\frac{\frac{1568}{13}}{\frac{\frac{229}{45}-\frac{25}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

45 un 6 mazākais kopējais skaitlis, ar kuru dalāms bez atlikuma, ir 90. Konvertējiet \frac{229}{45} un \frac{25}{6} daļskaitļiem ar saucēju 90.

$$\frac{\frac{1568}{13}}{\frac{\frac{458}{90}-\frac{375}{90}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Tā kā \frac{458}{90} un \frac{375}{90} ir viens un tas pats saucējs, atņemiet tos, atņemot to skaitītājus.

$$\frac{\frac{1568}{13}}{\frac{\frac{458-375}{90}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Atņemiet 375 no 458, lai iegūtu 83.

$$\frac{\frac{1568}{13}}{\frac{\frac{83}{90}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Reiziniet 5 un 15, lai iegūtu 75.

$$\frac{\frac{1568}{13}}{\frac{\frac{83}{90}}{\frac{75+8}{15}}\left(34\times 7+2\right)}$$

Saskaitiet 75 un 8, lai iegūtu 83.

$$\frac{\frac{1568}{13}}{\frac{\frac{83}{90}}{\frac{83}{15}}\left(34\times 7+2\right)}$$

Daliet \frac{83}{90} ar \frac{83}{15}, reizinot \frac{83}{90} ar apgriezto daļskaitli \frac{83}{15} .

$$\frac{\frac{1568}{13}}{\frac{83}{90}\times \frac{15}{83}\left(34\times 7+2\right)}$$

Reiziniet \frac{83}{90} ar \frac{15}{83}, reizinot skaitītāju ar skaitītāju un saucēju ar saucēju.

$$\frac{\frac{1568}{13}}{\frac{83\times 15}{90\times 83}\left(34\times 7+2\right)}$$

Saīsiniet 83 gan skaitītājā, gan saucējā.

$$\frac{\frac{1568}{13}}{\frac{15}{90}\left(34\times 7+2\right)}$$

Vienādot daļskaitli \frac{15}{90} līdz mazākajam loceklim, izvelkot un saīsinot 15.

$$\frac{\frac{1568}{13}}{\frac{1}{6}\left(34\times 7+2\right)}$$

Reiziniet 34 un 7, lai iegūtu 238.

$$\frac{\frac{1568}{13}}{\frac{1}{6}\left(238+2\right)}$$

Saskaitiet 238 un 2, lai iegūtu 240.

$$\frac{\frac{1568}{13}}{\frac{1}{6}\times 240}$$

Reiziniet \frac{1}{6} un 240, lai iegūtu \frac{240}{6}.

$$\frac{\frac{1568}{13}}{\frac{240}{6}}$$

Daliet 240 ar 6, lai iegūtu 40.

$$\frac{\frac{1568}{13}}{40}$$

Izsakiet \frac{\frac{1568}{13}}{40} kā vienu daļskaitli.

$$\frac{1568}{13\times 40}$$

Reiziniet 13 un 40, lai iegūtu 520.

$$\frac{1568}{520}$$

Vienādot daļskaitli \frac{1568}{520} līdz mazākajam loceklim, izvelkot un saīsinot 8.

$$\frac{196}{65}$$

Sadalīt reizinātājos

$$\frac{2 ^ {2} \cdot 7 ^ {2}}{5 \cdot 13} = 3\frac{1}{65} = 3,0153846153846153$$