To translate given phrase into an algebraic expression using x

York 2021-09-19 Answered
To translate given phrase into an algebraic expression using \(\displaystyle{x}\) to represent the number.
The given phrase is divide a number by \(\displaystyle-{6}{\frac{{{1}}}{{{11}}}}\).

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Expert Answer

irwchh
Answered 2021-09-20 Author has 10312 answers

Step 1
Let us suppose the number be x.
The phrase ''Divide a number by \(\displaystyle-{6}{\frac{{{1}}}{{{11}}}}\).'' means divide the number x by \(\displaystyle-{6}{\frac{{{1}}}{{{11}}}}\)
The following algebraic expression will be formed:
\(\displaystyle{x}\div{\left(-{6}{\frac{{{1}}}{{{11}}}}\right)}\)
\(\displaystyle={x}\div{\left(-{\frac{{{67}}}{{{11}}}}\right)}\)
\(\displaystyle={x}\times{\left(-{\frac{{{11}}}{{{67}}}}\right)}\)
\(\{\text{changing}\ \div\ to\ \div \text{by inverting the fraction\}}\)
\(\displaystyle=-{\frac{{{11}}}{{{67}}}}{x}\)
The algebraic expression is \(\displaystyle-{\frac{{{11}}}{{{67}}}}{x}\).

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