sendo a/b=c/d e a/m=n/d, determine uma razão igual a m/b
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Primeira igualdade:
Na segunda igualdade:
![\dfrac{a}{m} = \dfrac{n}{d} \Rightarrow a = m \cdot \dfrac{n}{d}
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\boxed{Como \ a = b \cdot \dfrac{c}{d}}
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b \cdot \dfrac{c}{d} = m \cdot \dfrac{n}{d}
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b \cdot \dfrac{c}{\not d} = m \cdot \dfrac{n}{\not d}
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b \cdot c = m \cdot n
\\\\
\therefore \boxed{\boxed{\dfrac{m}{b} = \dfrac{c}{n}}}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7Bm%7D+%3D+%5Cdfrac%7Bn%7D%7Bd%7D+%5CRightarrow+a+%3D+m+%5Ccdot+%5Cdfrac%7Bn%7D%7Bd%7D%0A%5C%5C%5C%5C%5C%0A%5Cboxed%7BComo+%5C+a+%3D+b+%5Ccdot+%5Cdfrac%7Bc%7D%7Bd%7D%7D%0A%5C%5C%5C%5C%5C%5C%0Ab+%5Ccdot+%5Cdfrac%7Bc%7D%7Bd%7D+%3D+m+%5Ccdot+%5Cdfrac%7Bn%7D%7Bd%7D%0A%5C%5C%5C%5C%5C%5C%0Ab+%5Ccdot+%5Cdfrac%7Bc%7D%7B%5Cnot+d%7D+%3D+m+%5Ccdot+%5Cdfrac%7Bn%7D%7B%5Cnot+d%7D%0A%5C%5C%5C%5C%5C%5C%0Ab+%5Ccdot+c+%3D+m+%5Ccdot+n%0A%5C%5C%5C%5C%0A%5Ctherefore+%5Cboxed%7B%5Cboxed%7B%5Cdfrac%7Bm%7D%7Bb%7D+%3D+%5Cdfrac%7Bc%7D%7Bn%7D%7D%7D "\dfrac{a}{m} = \dfrac{n}{d} \Rightarrow a = m \cdot \dfrac{n}{d}
\\\\\
\boxed{Como \ a = b \cdot \dfrac{c}{d}}
\\\\\\
b \cdot \dfrac{c}{d} = m \cdot \dfrac{n}{d}
\\\\\\
b \cdot \dfrac{c}{\not d} = m \cdot \dfrac{n}{\not d}
\\\\\\
b \cdot c = m \cdot n
\\\\
\therefore \boxed{\boxed{\dfrac{m}{b} = \dfrac{c}{n}}}")
Na segunda igualdade:
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