order of operations with fractions. simplify. 5/9 \times 1/2 + 7/19 divide

amanf 2021-10-02 Answered

order of operations with fractions. simplify. \(\displaystyle\frac{{5}}{{9}}\times\frac{{1}}{{2}}+\frac{{7}}{{19}}\) divided by \(\displaystyle‚Äč\frac{18}{{19}}\)

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Expert Answer

hesgidiauE
Answered 2021-10-03 Author has 16917 answers
Given
\(\displaystyle{\frac{{{5}}}{{{9}}}}\times{\frac{{{7}}}{{{19}}}}+{\frac{{{7}}}{{{19}}}}\div{\frac{{{18}}}{{{19}}}}\)
\(\displaystyle\Rightarrow{\frac{{{5}}}{{{9}}}}\times{\frac{{{1}}}{{{2}}}}+{\frac{{{7}}}{{{19}}}}\times{\frac{{{19}}}{{{18}}}}\)
\(\displaystyle\Rightarrow{\frac{{{5}}}{{{18}}}}+{\frac{{{7}}}{{{18}}}}\)
\(\displaystyle\Rightarrow{\frac{{{5}+{7}}}{{{18}}}}={\frac{{{12}}}{{{18}}}}={\frac{{{2}}}{{{3}}}}\)
\(\displaystyle\Rightarrow{\frac{{{5}}}{{{9}}}}\times{\frac{{{1}}}{{{2}}}}+{\frac{{{7}}}{{{19}}}}\div{\frac{{{18}}}{{{19}}}}={\frac{{{2}}}{{{3}}}}\)
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