Solve 4=-4/3(5)+6

$$4 = - \frac { 4 } { 3 } ( 5 ) + 6$$

Verify

Solution Steps

Express -\frac{4}{3}\times 5 as a single fraction.

$$4=\frac{-4\times 5}{3}+6$$

Multiply -4 and 5 to get -20.

$$4=\frac{-20}{3}+6$$

Fraction \frac{-20}{3} can be rewritten as -\frac{20}{3} by extracting the negative sign.

$$4=-\frac{20}{3}+6$$

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

$$4=-\frac{20}{3}+\frac{18}{3}$$

Since -\frac{20}{3} and \frac{18}{3} have the same denominator, add them by adding their numerators.

$$4=\frac{-20+18}{3}$$

Add -20 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}.

$$\text{false}$$