सोडोवचें {3/2+1-3/2*[(1/6*3/5+frac{7}{5}*frac{1}{7})*frac{5}{2}]}*frac{4}{33}+(1-frac{1}{2})^2:3+(frac{2}{3})^2

$$\{ \frac { 3 } { 2 } + 1 - \frac { 3 } { 2 } \times [ ( \frac { 1 } { 6 } \times \frac { 3 } { 5 } + \frac { 7 } { 5 } \times \frac { 1 } { 7 } ) \times \frac { 5 } { 2 } ] \} \times \frac { 4 } { 33 } + ( 1 - \frac { 1 } { 2 } ) ^ { 2 } : 3 + ( \frac { 2 } { 3 } ) ^ { 2 }$$

मूल्यांकन करचें

$$\frac{25}{36}\approx 0.694444444$$

सोडोवणी पांवडे

\frac{5}{2} मेळोवंक \frac{3}{2} आनी 1 ची बेरीज करची.

$$\left(\frac{5}{2}-\frac{3}{2}\left(\frac{1}{6}\times \frac{3}{5}+\frac{7}{5}\times \frac{1}{7}\right)\times \frac{5}{2}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

\frac{1}{10} मेळोवंक \frac{1}{6} आनी \frac{3}{5} गुणचें.

$$\left(\frac{5}{2}-\frac{3}{2}\left(\frac{1}{10}+\frac{7}{5}\times \frac{1}{7}\right)\times \frac{5}{2}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

\frac{1}{5} मेळोवंक \frac{7}{5} आनी \frac{1}{7} गुणचें.

$$\left(\frac{5}{2}-\frac{3}{2}\left(\frac{1}{10}+\frac{1}{5}\right)\times \frac{5}{2}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

\frac{3}{10} मेळोवंक \frac{1}{10} आनी \frac{1}{5} ची बेरीज करची.

$$\left(\frac{5}{2}-\frac{3}{2}\times \frac{3}{10}\times \frac{5}{2}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

\frac{9}{20} मेळोवंक \frac{3}{2} आनी \frac{3}{10} गुणचें.

$$\left(\frac{5}{2}-\frac{9}{20}\times \frac{5}{2}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

\frac{9}{8} मेळोवंक \frac{9}{20} आनी \frac{5}{2} गुणचें.

$$\left(\frac{5}{2}-\frac{9}{8}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

\frac{11}{8} मेळोवंक \frac{5}{2} आनी \frac{9}{8} वजा करचे.

$$\frac{11}{8}\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

\frac{1}{6} मेळोवंक \frac{11}{8} आनी \frac{4}{33} गुणचें.

$$\frac{1}{6}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

\frac{1}{2} मेळोवंक 1 आनी \frac{1}{2} वजा करचे.

$$\frac{1}{6}+\frac{\left(\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

\frac{1}{4} मेळोवंक 2 चो \frac{1}{2} पॉवर मेजचो.

$$\frac{1}{6}+\frac{\frac{1}{4}}{3}+\left(\frac{2}{3}\right)^{2}$$

एकोडो अपूर्णांक म्हूण \frac{\frac{1}{4}}{3} स्पश्ट करचें.

$$\frac{1}{6}+\frac{1}{4\times 3}+\left(\frac{2}{3}\right)^{2}$$

12 मेळोवंक 4 आनी 3 गुणचें.

$$\frac{1}{6}+\frac{1}{12}+\left(\frac{2}{3}\right)^{2}$$

\frac{1}{4} मेळोवंक \frac{1}{6} आनी \frac{1}{12} ची बेरीज करची.

$$\frac{1}{4}+\left(\frac{2}{3}\right)^{2}$$

\frac{4}{9} मेळोवंक 2 चो \frac{2}{3} पॉवर मेजचो.

$$\frac{1}{4}+\frac{4}{9}$$

\frac{25}{36} मेळोवंक \frac{1}{4} आनी \frac{4}{9} ची बेरीज करची.

$$\frac{25}{36}$$

गुणकपद

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3 ^ {2}} = 0.6944444444444444$$