गुणाकार/भागाकार
1) \[\frac{6}{5}\times \frac{15}{18}\times \frac{21}{7}=?\]
Explanation:3 उत्तर
2)\[\frac{12}{14}\times \frac{18}{25}\times \frac{15}{32}=?\]
Explanation:\[\frac{81}{280}\]
3)\[1\frac{2}{4}\times 5\frac{6}{3}\times 8\frac{4}{6}=?\]
Explanation:\[\frac{6}{4}\times \frac{21}{3}\times \frac{52}{6}=91\]
4)\[\frac{1}{2}\div \frac{3}{4}\div \frac{5}{6}=?\]
Explanation: (भागाकाराचे गुणाकार करतांना समोरील संख्या व्यस्त करावे)\[\frac{1}{2}\times \frac{4}{3}\times \frac{6}{5}=\frac{4}{5}\] (भागाकाराचे गुणाकार करतांना समोरील संख्या व्यस्त करावे)
5) \[\frac{6}{8}\div \frac{9}{10}\div \frac{15}{25}=?\]
Explanation:\[\frac{6}{8}\times \frac{10}{9}\times \frac{25}{15}=\frac{25}{18}\]
6) \[\frac{4}{6}\div \frac{9}{12}\times \frac{8}{10}=?\]
Explanation:\[\frac{4}{6}\times \frac{12}{9}\times \frac{8}{10}=\frac{32}{45}\]
7)\[1\frac{6}{7}\times 2\frac{4}{6}\div 3 \frac{5}{5}=?\]
Explanation: \[\frac{13}{7}\times \frac{16}{6}\div \frac{20}{5}\: \\=\frac{13}{7}\times \frac{16}{6}\times \frac{5}{20}\: \\=\frac{26}{21}=1\frac{5}{21}\]
8) \[\frac{\frac{13}{25}\div \frac{26}{15}}{\frac{5}{6}\div \frac{15}{16}}=?\]
Explanation: \[\frac{\frac{13}{25}\times \frac{15}{26}}{\frac{5}{6}\div \frac{15}{16}}=\: \\\frac{\frac{3}{10}}{\frac{8}{9}}=\frac{3}{10}\times \frac{9}{8}=\frac{27}{80}\]
9)\[\frac{1}{2}\times \frac{3}{4}+\frac{5}{6}\div \frac{7}{8}-\frac{9}{10}=?\]
Explanation: \[\frac{1}{2}\times \frac{3}{4}+\frac{5}{6}\times \frac{8}{7}-\frac{9}{10}\] (कंचे भागूबेब नुसार)\[\frac{3}{8}+\frac{20}{21}-\frac{9}{10}=\frac{3\times 105+20\times 40-9\times 84}{840}\: \\=\frac{315+800-756}{840}=\frac{359}{840}\]
10)\[\frac{4}{6}- \frac{8}{10}\times \frac{9}{36}+ \frac{2}{8}\div \frac{6}{12}\]
Explanation: \[\frac{4}{6}- \frac{8}{10}\times \frac{9}{36}+ \frac{2}{8}\times \frac{12}{6}\: \\=\frac{4}{6}-\frac{1}{5}+\frac{1}{2}=\frac{4\times 5-1\times 6+1\times 15}{30}\: \\=\frac{20-6+15}{30}=\frac{35-6}{30}=\frac{29}{30}\]