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Rational Numbers

Long Answer Type

51.

Find ten rational numbers between

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Short Answer Type

52.

space space space 2 over 3 space a n d space 4 over 5

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53. $space space space space fraction numerator negative 3 over denominator 5 end fraction space a n d space 5 over 3$

Converting $space space space space fraction numerator negative 3 over denominator 2 end fraction space a n d space 5 over 3$ with same denominators, we have

$space space space space space space fraction numerator negative 3 over denominator 2 end fraction equals fraction numerator negative 3 cross times 3 over denominator 2 cross times 3 end fraction equals fraction numerator negative 9 over denominator 6 end fraction$

and $space space space 5 over 3 equals fraction numerator 5 cross times 2 over denominator 3 cross times 2 end fraction space equals space 10 over 6$

∴ Five rational numbers between $fraction numerator negative 3 over denominator 2 end fraction space a n d space 5 over 3 space a r e colon space 9 over 6 comma 8 over 6 comma space 7 over 6 comma 0 comma fraction numerator negative 7 over denominator 6 end fraction comma space e t c. space space$

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54.

space space space 1 fourth space a n d space 1 half

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55.

Write five rational numbers greater than –2.

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56.

Find ten rational numbers between $space space space 3 over 5 space a n d space 3 over 4$ .

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57.

$space space S i m p l i f y space colon space space space space space space space 4 over 3 plus 3 over 5 plus fraction numerator negative 2 over denominator 3 end fraction plus fraction numerator negative 11 over denominator 5 end fraction$

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58.

Subtract $5 over 6 space i s space fraction numerator negative 5 over denominator 6 end fraction$

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59.

<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>

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60.

The sum of two rational numbers is $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$ . if one of them is $fraction numerator negative 11 over denominator 20 end fraction comma$ find the other.

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