How do you turn \(\frac{12}{15}\) and \(\frac{68}{80}\) into a decimal and into a percent?

15 12 ​ d i v i d e a n u m er a t or an d a d e n o mina t or b y 3 12 : 3 = 4 ; 15 : 3 = 5 t h ere f ore 15 12 ​ = 5 4 ​ m u lt i pl y a n u m er a t or an d a d e n o mina t or b y 2 4 ⋅ 2 = 8 ; 5 ⋅ 2 = 10 t h ere f ore 15 12 ​ = 5 4 ​ = 10 8 ​ = 0.8 ​ ⇒ 0.8 ⋅ 100% = 80% ​
80 68 ​ d i v i d e a n u m er a t or an d a d e n o mina t or b y 4 68 : 4 = 17 ; 80 : 4 = 20 t h ere f ore 80 68 ​ = 20 17 ​ m u lt i pl y a n u m er a t or an d a d e n o mina t or b y 5 17 ⋅ 5 = 85 ; 20 ⋅ 5 = 100 t h ere f ore 80 68 ​ = 20 17 ​ = 100 85 ​ = 0.85 ​ ⇒ 0.85 ⋅ 100% = 85% ​

Answered by Anonymous | 2024-06-10

\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\%\\\\--------------------\\\\
\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\%

Answered by kate200468 | 2024-06-10

To convert 15 12 ​ , the decimal is 0.8 and the percent is 80%. For 80 68 ​ , the decimal is 0.85 and the percent is 85%. By dividing the numerator by the denominator, we can easily find both the decimal and the percent values.
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Answered by Anonymous | 2024-12-26