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$Evaluate the expression shown below and write your answer as a fraction in simplest form. -(7)/(5)+(2)/(7) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $-\frac{7}{5}+\frac{2}{7}$ $\newline$ Answer:

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Roots of rational numbers

Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.

\newline

-\frac{7}{5}+\frac{2}{7}

\newline

Answer:

Find Common Denominator: To solve the expression, we need to find a common denominator for the fractions $-\frac{7}{5}$ and $\frac{2}{7}$ . The common denominator for $5$ and $7$ is $35$ .
Convert to Equivalent Fractions: Now we convert each fraction to an equivalent fraction with the common denominator of $35$ . For the first fraction, we multiply both the numerator and the denominator by $7$ : $-\frac{7}{5} \times \frac{7}{7} = -\frac{49}{35}$ . For the second fraction, we multiply both the numerator and the denominator by $5$ : $\frac{2}{7} \times \frac{5}{5} = \frac{10}{35}$ .
Add Fractions: Next, we add the two fractions with the common denominator: $-\frac{49}{35} + \frac{10}{35} = \frac{-49 + 10}{35}$ .
Perform Numerical Addition: We perform the addition in the numerator: $-49 + 10 = -39$ .
Final Combined Fraction: Now we have the combined fraction: $(-39)/(35)$ . This fraction is already in its simplest form because $39$ and $35$ have no common factors other than $1$ .

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