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Reduce to simplest form.

(9)/(5)-(-(6)/(10))=

Reduce to simplest form.\newline95(610)= \frac{9}{5}-\left(-\frac{6}{10}\right)=

Full solution

Q. Reduce to simplest form.\newline95(610)= \frac{9}{5}-\left(-\frac{6}{10}\right)=
  1. Change Sign: Simplify the negative sign in front of (6/10)(6/10).\newlineTo simplify (6/10)-(6/10), we change the sign of the fraction to its opposite.\newline(6/10)=6/10-(6/10) = -6/10 becomes 6/106/10.
  2. Find Common Denominator: Find a common denominator for the fractions (95)(\frac{9}{5}) and (610)(\frac{6}{10}). The common denominator for 55 and 1010 is 1010. We need to convert (95)(\frac{9}{5}) to a fraction with a denominator of 1010. (95)×(22)=(1810)(\frac{9}{5}) \times (\frac{2}{2}) = (\frac{18}{10}).
  3. Add Fractions: Add the two fractions with the common denominator.\newlineNow we add (1810)(\frac{18}{10}) and (610)(\frac{6}{10}) together.\newline(1810)+(610)=(18+610)=2410(\frac{18}{10}) + (\frac{6}{10}) = (\frac{18 + 6}{10}) = \frac{24}{10}.
  4. Reduce to Simplest Form: Reduce the fraction to its simplest form.\newlineTo reduce 2410\frac{24}{10}, we divide both the numerator and the denominator by their greatest common divisor, which is 22.\newline2410÷22=125\frac{24}{10} \div \frac{2}{2} = \frac{12}{5}.