Solve 2(-9)+3(--12/7)=-6

$$2 ( - 9 ) + 3 ( - \frac { - 12 } { 7 } ) = - 6$$

Verify

Solution Steps

Multiply 2 and -9 to get -18.

$$-18+3\left(-\frac{-12}{7}\right)=-6$$

Fraction \frac{-12}{7} can be rewritten as -\frac{12}{7} by extracting the negative sign.

$$-18+3\left(-\left(-\frac{12}{7}\right)\right)=-6$$

The opposite of -\frac{12}{7} is \frac{12}{7}.

$$-18+3\times \frac{12}{7}=-6$$

Express 3\times \frac{12}{7} as a single fraction.

$$-18+\frac{3\times 12}{7}=-6$$

Multiply 3 and 12 to get 36.

$$-18+\frac{36}{7}=-6$$

Convert -18 to fraction -\frac{126}{7}.

$$-\frac{126}{7}+\frac{36}{7}=-6$$

Since -\frac{126}{7} and \frac{36}{7} have the same denominator, add them by adding their numerators.

$$\frac{-126+36}{7}=-6$$

Add -126 and 36 to get -90.

$$-\frac{90}{7}=-6$$

Convert -6 to fraction -\frac{42}{7}.

$$-\frac{90}{7}=-\frac{42}{7}$$

Compare -\frac{90}{7} and -\frac{42}{7}.

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