Reduce to simplest form. -(9)/(6)+(-(3)/(5))=

Question

Reduce to simplest form.  -(9)/(6)+(-(3)/(5))=

Bytelearn · Accepted Answer

Simplify Fraction: Simplify each fraction to its lowest terms. The fraction $ \frac{9}{6} $ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3. $ \frac{9}{6} = \frac{9 ÷ 3}{6 ÷ 3} = \frac{3}{2} $Rewrite Expression: Rewrite the expression with the simplified fraction. Now, the expression becomes: $ -\frac{3}{2} + (-\frac{3}{5}) $Find Common Denominator: Find a common denominator for the fractions. The least common denominator (LCD) for 2 and 5 is 10.Convert to LCD: Convert each fraction to an equivalent fraction with the LCD as the denominator. $ -\frac{3}{2} $ becomes $ -\frac{3 \times 5}{2 \times 5} = -\frac{15}{10} $ $ -\frac{3}{5} $ becomes $ -\frac{3 \times 2}{5 \times 2} = -\frac{6}{10} $Add Fractions: Add the fractions with the common denominator. $ -\frac{15}{10} + (-\frac{6}{10}) = -\frac{15 + 6}{10} = -\frac{21}{10} $Simplify Result: Simplify the result, if possible. The fraction $ -\frac{21}{10} $ is already in its simplest form because 21 and 10 have no common divisors other than 1.

Reduce to simplest form. $\newline$ $-\frac{9}{6}+\left(-\frac{3}{5}\right)=$

Full solution

More problems from Multiply using the distributive property

Related topics

Reduce to simplest form.\newline−96+(−35)= -\frac{9}{6}+\left(-\frac{3}{5}\right)= −69​+(−53​)=

Reduce to simplest form. $\newline$ $-\frac{9}{6}+\left(-\frac{3}{5}\right)=$