Question

first, write a fraction equivalent to \\(\frac{4}{5}\\) with a denominator of 10.\\(\frac{4}{5} = \frac{8}{10}\\)now, complete the sentence describing the comparison.\\(\frac{7}{10}\\) is less than \\(\frac{8}{10}\\).\\(\frac{7}{10}\\) is less than \\(\frac{4}{5}\\).

Explanation:

Step1: Find equivalent fraction

To get a denominator of 10 from 5, multiply numerator and denominator of $\frac{4}{5}$ by 2: $\frac{4\times2}{5\times2}=\frac{8}{10}$.

Step2: Compare $\frac{7}{10}$ and $\frac{8}{10}$

Since 7 < 8, $\frac{7}{10}<\frac{8}{10}$.

Step3: Compare $\frac{7}{10}$ and $\frac{4}{5}$ (which is $\frac{8}{10}$)

As $\frac{4}{5}=\frac{8}{10}$ and $\frac{7}{10}<\frac{8}{10}$, so $\frac{7}{10}<\frac{4}{5}$.

Answer:

$\frac{7}{10}$ is less than $\frac{8}{10}$; $\frac{7}{10}$ is less than $\frac{4}{5}$.