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

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

\newline

Submit 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 $7$ to get $-\frac{49}{35}$ . For the second fraction, we multiply both the numerator and the denominator by $5$ to get $\frac{10}{35}$ .
Add Fractions: Next, we add the two fractions with the common denominator. The operation is subtraction because the first fraction is negative: $-\frac{49}{35} + \frac{10}{35}$ .
Perform Subtraction: Performing the subtraction, we get $-\frac{39}{35}$ . This is the result of the expression in fraction form.
Simplify Result: The fraction $-\frac{39}{35}$ is already in its simplest form because $39$ and $35$ have no common factors other than $1$ .

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