Solve -4=4/3(-4)+6

$$- 4 = \frac { 4 } { 3 } ( - 4 ) + 6$$

Verify

Solution Steps

Express \frac{4}{3}\left(-4\right) as a single fraction.

$$-4=\frac{4\left(-4\right)}{3}+6$$

Multiply 4 and -4 to get -16.

$$-4=\frac{-16}{3}+6$$

Fraction \frac{-16}{3} can be rewritten as -\frac{16}{3} by extracting the negative sign.

$$-4=-\frac{16}{3}+6$$

Convert 6 to fraction \frac{18}{3}.

$$-4=-\frac{16}{3}+\frac{18}{3}$$

Since -\frac{16}{3} and \frac{18}{3} have the same denominator, add them by adding their numerators.

$$-4=\frac{-16+18}{3}$$

Add -16 and 18 to get 2.

$$-4=\frac{2}{3}$$

Convert -4 to fraction -\frac{12}{3}.

$$-\frac{12}{3}=\frac{2}{3}$$

Compare -\frac{12}{3} and \frac{2}{3}.

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