To subtract the two fractions, we need to find the common denominator. The fractions have denominators of 5 and 10. Since 5 and 10 are both divisible by 5, we can use 10 as the common denominator.
Next, we rewrite both fractions with the common denominator of 10:
\[\dfrac{9}{5} - \left(-\dfrac{6}{10}\right) = \dfrac{9\cdot2}{5\cdot2} - \dfrac{6}{10} = \dfrac{18}{10} - \dfrac{6}{10}.\]
We can now subtract the fractions since they have the same denominator:
\[\dfrac{18}{10} - \dfrac{6}{10} = \dfrac{18-6}{10} = \dfrac{12}{10}.\]
Finally, we simplify the fraction, if possible. The numerator, 12, and the denominator, 10, are both divisible by 2. Dividing both by 2, we get:
\[\dfrac{12}{10} = \dfrac{6}{5}.\]
Therefore, $\dfrac{9}{5} - \left(-\dfrac{6}{10}\right) = \boxed{\dfrac{6}{5}}.$
Reduce to simplest form.
\[\dfrac{9}{5}-\left(-\dfrac{6}{10}\right)=\]
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To subtract the two fractions, we first need to find a common denominator. The denominators of the fractions are 5 and 10. The least common multiple of 5 and 10 is 10. We rewrite both fractions with the common denominator of 10:
\[\frac{9}{5} - \left(-\frac{6}{10}\right) = \frac{9 \cdot 2}{5 \cdot 2} - \frac{6}{10} = \frac{18}{10} - \frac{6}{10}.\]
Since the fractions have the same denominator, we can subtract the numerators directly:
\[\frac{18}{10} - \frac{6}{10} = \frac{18 - 6}{10} = \frac{12}{10}.\]
To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor, which is 2:
\[\frac{12}{10} = \frac{6}{5}.\]
Therefore, the simplified form of $\frac{9}{5} - \left(-\frac{6}{10}\right)$ is $\boxed{\frac{6}{5}}.$
To subtract the two fractions, we first need to find a common denominator. The denominators of the fractions are 5 and 10. The least common multiple of 5 and 10 is 10. We rewrite both fractions with the common denominator of 10:
\[\frac{9}{5} - \left(-\frac{6}{10}\right) = \frac{9 \cdot 2}{5 \cdot 2} - \frac{6}{10} = \frac{18}{10} - \frac{6}{10}.\]
Since the fractions have the same denominator, we can subtract the numerators directly:
\[\frac{18}{10} - \frac{6}{10} = \frac{18 - 6}{10} = \frac{12}{10}.\]
To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor, which is 2:
\[\frac{12}{10} = \frac{6}{5}.\]
Therefore, the simplified form of $\frac{9}{5} - \left(-\frac{6}{10}\right)$ is $\boxed{\frac{6}{5}}.$