Solve (28/12-4/3)-5*3(24/12+8/4)

$$( \frac{ 28 }{ 12 } - \frac{ 4 }{ 3 } )-5 \times 3( \frac{ 24 }{ 12 } + \frac{ 8 }{ 4 } )$$

Evaluate

$$-59$$

Solution Steps

Reduce the fraction \frac{28}{12} to lowest terms by extracting and canceling out 4.

$$\frac{7}{3}-\frac{4}{3}-5\times 3\left(\frac{24}{12}+\frac{8}{4}\right)$$

Since \frac{7}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-4}{3}-5\times 3\left(\frac{24}{12}+\frac{8}{4}\right)$$

Subtract 4 from 7 to get 3.

$$\frac{3}{3}-5\times 3\left(\frac{24}{12}+\frac{8}{4}\right)$$

Divide 3 by 3 to get 1.

$$1-5\times 3\left(\frac{24}{12}+\frac{8}{4}\right)$$

Multiply 5 and 3 to get 15.

$$1-15\left(\frac{24}{12}+\frac{8}{4}\right)$$

Divide 24 by 12 to get 2.

$$1-15\left(2+\frac{8}{4}\right)$$

Divide 8 by 4 to get 2.

$$1-15\left(2+2\right)$$

Add 2 and 2 to get 4.

$$1-15\times 4$$

Multiply 15 and 4 to get 60.

$$1-60$$

Subtract 60 from 1 to get -59.

$$-59$$

Factor

$$-59$$