![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg6MfwkCW6ssKawLcd_lnEk3d0oxQgTfcYCYEfqGTi1-SbkbCtpPl2nYW1T52wxG-NnxQ3cHdsjOcyNUou0kz5bA29dUaLBfQy8dxFSkN28E5RcWOf03dKY0bSun5sMsmTGXXeXyZtgKvSM/s1600/image002.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNwEvQBJaaOttnrjnezLjo4Y5tkc9K-ziEtCikykWQUC0Oa5I7Lmaz5Q57q05MsQALQYosRSGsGCAJqH3XeqpEUHlG9y-qt4SlFyUU9JUhzqlf8EsMTngRLw6U_N262g-aibYc7qj21God/s1600/image004.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjssnb-_E8rCNUzKPHPQgMVKkPgSX662M0qw-HYGKwfPR0MdRK775eGTwhCe9IPJwGo-U3HqQrtnwhMcZAg_i5m4P5hrYW7eNeKglylFGGTLaw4G7r0NuDEmreYtjYLanbq4KjIvCtR86MC/s1600/image006.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjR_O_UW1wpaskBI40XbdtDN6cJmS40lFbp5g6Sp2zQIBrFODtPnunukhg48CBX66U72L3mXfbCELTSHO9ffNl_lDj893JVbtzWo11EHxcHTFbcIGEXNwCbRnnI5enkBSbi__vXFG2hVqnA/s1600/image008.png)
This hand of Three Sixths
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGzWD0MHDI-vNkCE0fAnp77bxy5LDdf3sTyzubET5iJW4psTnmeiTZS9sh7ArQ1xrXrmbdQDcAPbD08laewAO1i1X4-uQ_9V2h-cXyRrVSKsgbDeSWhI33scl22gupPuiXjVyT1mVNRArI/s1600/image010.png)
gives the same result as
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmX_DkvwUBr3inUPenaMuBRhvqoHkYAuk3yFXWUi7xoWY5vTEeyVmwZc2OhAlE-X2cCP3_54ygzdrfrUue-t1YJgrHGXWrHftA2WlCbXeX1Nz4Kz6w0oFW1rZzU9MFIvWm0lrR-fCT2pJP/s1600/image012.png)
six boards
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-iR12j2_OH3PP9tQCl1eNlxkUPh8-rVqLVvw_r3KfDTA-TIHNANa3vT1jvDAtjiKOfg3ITe4DSM7KWeQLM4J7va2_rTEYLb0_WSQ0sYuP_bwR1fPF0wxAp2EkQSROWcXW0bj8JDVyH2jX/s1600/image013.png)
One way to do the division is to share each counter over the
six boards in turn giving the result
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjR_O_UW1wpaskBI40XbdtDN6cJmS40lFbp5g6Sp2zQIBrFODtPnunukhg48CBX66U72L3mXfbCELTSHO9ffNl_lDj893JVbtzWo11EHxcHTFbcIGEXNwCbRnnI5enkBSbi__vXFG2hVqnA/s1600/image008.png)
So the hands
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNwEvQBJaaOttnrjnezLjo4Y5tkc9K-ziEtCikykWQUC0Oa5I7Lmaz5Q57q05MsQALQYosRSGsGCAJqH3XeqpEUHlG9y-qt4SlFyUU9JUhzqlf8EsMTngRLw6U_N262g-aibYc7qj21God/s1600/image004.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGzWD0MHDI-vNkCE0fAnp77bxy5LDdf3sTyzubET5iJW4psTnmeiTZS9sh7ArQ1xrXrmbdQDcAPbD08laewAO1i1X4-uQ_9V2h-cXyRrVSKsgbDeSWhI33scl22gupPuiXjVyT1mVNRArI/s1600/image010.png)
We have that three Sixths and Three Sixths are the same
Record |
Maths![]() |
There are three ways we can describe a fraction;
As a number, Three Sixths,
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSKouMJw0P7NdxNZEgw7Txq7exw__bnDAeKh8DhCgLnl_bfsgbDAN4UYh3I8-4roV9wtqACKCqhxs1bDH4x2vTEmSYu8a0hqDnkEtnKpQLliL4BCYYWDU6u_pHxJjVnYK-gsmQvR3p16iK/s1600/image018.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGzWD0MHDI-vNkCE0fAnp77bxy5LDdf3sTyzubET5iJW4psTnmeiTZS9sh7ArQ1xrXrmbdQDcAPbD08laewAO1i1X4-uQ_9V2h-cXyRrVSKsgbDeSWhI33scl22gupPuiXjVyT1mVNRArI/s1600/image010.png)
As a count, three Sixths,
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg6MfwkCW6ssKawLcd_lnEk3d0oxQgTfcYCYEfqGTi1-SbkbCtpPl2nYW1T52wxG-NnxQ3cHdsjOcyNUou0kz5bA29dUaLBfQy8dxFSkN28E5RcWOf03dKY0bSun5sMsmTGXXeXyZtgKvSM/s1600/image002.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiNwEvQBJaaOttnrjnezLjo4Y5tkc9K-ziEtCikykWQUC0Oa5I7Lmaz5Q57q05MsQALQYosRSGsGCAJqH3XeqpEUHlG9y-qt4SlFyUU9JUhzqlf8EsMTngRLw6U_N262g-aibYc7qj21God/s1600/image004.png)
As a division Three divided by Six 3 ÷ 6, or Three over Six
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSKouMJw0P7NdxNZEgw7Txq7exw__bnDAeKh8DhCgLnl_bfsgbDAN4UYh3I8-4roV9wtqACKCqhxs1bDH4x2vTEmSYu8a0hqDnkEtnKpQLliL4BCYYWDU6u_pHxJjVnYK-gsmQvR3p16iK/s1600/image018.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmX_DkvwUBr3inUPenaMuBRhvqoHkYAuk3yFXWUi7xoWY5vTEeyVmwZc2OhAlE-X2cCP3_54ygzdrfrUue-t1YJgrHGXWrHftA2WlCbXeX1Nz4Kz6w0oFW1rZzU9MFIvWm0lrR-fCT2pJP/s1600/image012.png)
All give the same result and may be swapped around.
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