Subtract as indicated.

[tex]\frac{14}{15} - \left(-\frac{3}{5}\right)[/tex]

[tex]\frac{14}{15} - \left(-\frac{3}{5}\right) =[/tex]

(Simplify your answer.)

Answer :

Let's solve the problem step by step:

We have two fractions that need to be subtracted:

[tex]\[
\frac{14}{15} - \left(-\frac{3}{5}\right)
\][/tex]

First, recognize that subtracting a negative fraction is the same as adding the positive of that fraction. So, we rewrite the expression:

[tex]\[
\frac{14}{15} + \frac{3}{5}
\][/tex]

Next, to add these fractions, we need to find a common denominator. The denominators given are 15 and 5. The least common denominator (LCD) between 15 and 5 is 15.

We convert [tex]\(\frac{3}{5}\)[/tex] to an equivalent fraction with a denominator of 15. To do this, multiply both the numerator and the denominator by 3:

[tex]\[
\frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15}
\][/tex]

Now, our problem looks like this:

[tex]\[
\frac{14}{15} + \frac{9}{15}
\][/tex]

Since the denominators are now the same, we can simply add the numerators:

[tex]\[
\frac{14 + 9}{15} = \frac{23}{15}
\][/tex]

Thus, the result of the subtraction [tex]\(\frac{14}{15} - \left(-\frac{3}{5}\right)\)[/tex] is [tex]\(\frac{23}{15}\)[/tex].

This fraction is already in its simplest form, as the numerator and the denominator have no common factors other than 1.

Therefore, the final answer is:

[tex]\[
\frac{23}{15}
\][/tex]