Solve |-31/3|div|-11/4|*|-12|=

$$| - 3 \frac { 1 } { 3 } | \div | - 1 \frac { 1 } { 4 } | \times | - 12 | =$$

Evaluate

$$32$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{|-\frac{9+1}{3}|}{|-\frac{1\times 4+1}{4}|}|-12|$$

Add 9 and 1 to get 10.

$$\frac{|-\frac{10}{3}|}{|-\frac{1\times 4+1}{4}|}|-12|$$

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}.

$$\frac{\frac{10}{3}}{|-\frac{1\times 4+1}{4}|}|-12|$$

Multiply 1 and 4 to get 4.

$$\frac{\frac{10}{3}}{|-\frac{4+1}{4}|}|-12|$$

Add 4 and 1 to get 5.

$$\frac{\frac{10}{3}}{|-\frac{5}{4}|}|-12|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{5}{4} is \frac{5}{4}.

$$\frac{\frac{10}{3}}{\frac{5}{4}}|-12|$$

Divide \frac{10}{3} by \frac{5}{4} by multiplying \frac{10}{3} by the reciprocal of \frac{5}{4}.

$$\frac{10}{3}\times \frac{4}{5}|-12|$$

Multiply \frac{10}{3} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 4}{3\times 5}|-12|$$

Do the multiplications in the fraction \frac{10\times 4}{3\times 5}.

$$\frac{40}{15}|-12|$$

Reduce the fraction \frac{40}{15} to lowest terms by extracting and canceling out 5.

$$\frac{8}{3}|-12|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -12 is 12.

$$\frac{8}{3}\times 12$$

Express \frac{8}{3}\times 12 as a single fraction.

$$\frac{8\times 12}{3}$$

Multiply 8 and 12 to get 96.

$$\frac{96}{3}$$

Divide 96 by 3 to get 32.

$$32$$

Factor

$$2^{5}$$