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Dovator [93]
4 years ago
9

6 4/5 - 2 1/5 is what?

Mathematics
2 answers:
lina2011 [118]4 years ago
6 0
It is 4 3/5
 6 - 2 = 4
 
4/5 - 1/5 = 3/5
pogonyaev4 years ago
3 0
6-2=4     whole number
4/5-1/5=3/5 fraction
  put the fraction and whole number toger and you'll get
since the denominator is the same it's easier to subract

4 3/5    <--- answer
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We can apply the following properties of radicals:

\begin{gathered} \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\Rightarrow\text{ Product property} \\ \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\Rightarrow\text{ Quotient property} \end{gathered}

Then, we have:

\begin{gathered} \text{ Apply the product property} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\sqrt[]{\frac{7}{8}\cdot\frac{7}{18}} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\sqrt[]{\frac{7\cdot7}{8\cdot18}} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\sqrt[]{\frac{49}{144}} \\ \text{ Apply the quotient property} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\frac{\sqrt[]{49}}{\sqrt[]{144}} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\frac{7}{12} \end{gathered}

Therefore, the choice that is equivalent to the given product is:

\frac{7}{12}

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Answer:

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