Solve 3|(2/3)-4|=10

$$3 | ( \frac { 2 } { 3 } ) - 4 | = 10$$

Verify

Solution Steps

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

$$3|\frac{2}{3}-\frac{12}{3}|=10$$

Since \frac{2}{3} and \frac{12}{3} have the same denominator, subtract them by subtracting their numerators.

$$3|\frac{2-12}{3}|=10$$

Subtract 12 from 2 to get -10.

$$3|-\frac{10}{3}|=10$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{10}{3} is \frac{10}{3}.

$$3\times \frac{10}{3}=10$$

Cancel out 3 and 3.

$$10=10$$

Compare 10 and 10.

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