Answered

IDNLearn.com connects you with experts who provide accurate and reliable answers. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.

how do you turn 12/15 and 68/80 into a decimal and into a percent

Sagot :

[tex]\frac{12}{15}\\\\divide\ a\ numerator\ and\ a\ denominator\ by\ 3\\\\12:3=4;\ 15:3=5\\\\therefore\ \frac{12}{15}=\frac{4}{5}\\\\multiply\ a\ numerator\ and\ a\ denominator\ by\ 2\\\\4\cdot\ 2=8;\ 5\cdot2=10\\\\therefore\ \frac{12}{15}=\frac{4}{5}=\frac{8}{10}=\boxed{0.8}\Rightarrow0.8\cdot100\%=\boxed{80\%}[/tex]



[tex]\frac{68}{80}\\\\divide\ a\ numerator\ and\ a\ denominator\ by\ 4\\\\68:4=17;\ 80:4=20\\\\therefore\ \frac{68}{80}=\frac{17}{20}\\\\multiply\ a\ numerator\ and\ a\ denominator\ by\ 5\\\\17\cdot\ 5=85;\ 20\cdot5=100\\\\therefore\ \frac{68}{80}=\frac{17}{20}=\frac{85}{100}=\boxed{0.85}\Rightarrow0.85\cdot100\%=\boxed{85\%}[/tex]
Kate200468idn
[tex] \frac{\big{12}}{\big{15}}= \frac{\big{3\cdot4}}{\big{3\cdot5}}= \frac{\big{4}}{\big{5}}= \frac{\big{4\cdot2}}{\big{5\cdot2}}= \frac{\big{8}}{\big{10}}=0.8 \\\\1\%\ \ \rightarrow\ \ 0.01\ \ \ \ \ \ \Rightarrow\ \ \ \ \ 10\%\ \ \rightarrow\ \ 0.01\cdot10=0.1\\\\0.8=8\cdot0.1 \ \rightarrow\ \ 8\cdot10\%=80\%\\\\--------------------\\\\ [/tex]

[tex]\frac{\big{68}}{\big{80}}=\frac{\big{4\cdot17}}{\big{4\cdot20}}=\frac{\big{17}}{\big{20}}=\frac{\big{17\cdot5}}{\big{20\cdot5}}=\frac{\big{85}}{\big{100}}=0.85\\\\0.85=0.8+0.05=8\cdot0.1+5\cdot0.01\\\\0.85\ \ \rightarrow\ \ 8\cdot10\%+5\cdot5\%=80\%+5\%=85\%[/tex]
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. IDNLearn.com provides the best answers to your questions. Thank you for visiting, and come back soon for more helpful information.