Solve 1-{1-[1-31/5*(-5/16)]*3}div(-1)

$$1 - \{ 1 - [ 1 - 3 \frac { 1 } { 5 } \times ( - \frac { 5 } { 16 } ) ] \times 3 \} \div ( - 1 )$$

Evaluate

$$-4$$

Solution Steps

Multiply 3 and 5 to get 15.

$$1-\frac{1-\left(1-\frac{15+1}{5}\left(-\frac{5}{16}\right)\right)\times 3}{-1}$$

Add 15 and 1 to get 16.

$$1-\frac{1-\left(1-\frac{16}{5}\left(-\frac{5}{16}\right)\right)\times 3}{-1}$$

Multiply \frac{16}{5} times -\frac{5}{16} by multiplying numerator times numerator and denominator times denominator.

$$1-\frac{1-\left(1-\frac{16\left(-5\right)}{5\times 16}\right)\times 3}{-1}$$

Cancel out 16 in both numerator and denominator.

$$1-\frac{1-\left(1-\frac{-5}{5}\right)\times 3}{-1}$$

Divide -5 by 5 to get -1.

$$1-\frac{1-\left(1-\left(-1\right)\right)\times 3}{-1}$$

The opposite of -1 is 1.

$$1-\frac{1-\left(1+1\right)\times 3}{-1}$$

Add 1 and 1 to get 2.

$$1-\frac{1-2\times 3}{-1}$$

Multiply 2 and 3 to get 6.

$$1-\frac{1-6}{-1}$$

Subtract 6 from 1 to get -5.

$$1-\frac{-5}{-1}$$

Fraction \frac{-5}{-1} can be simplified to 5 by removing the negative sign from both the numerator and the denominator.

$$1-5$$

Subtract 5 from 1 to get -4.

$$-4$$

Factor

$$-4$$