Solve -2div4*1/2-12*(-15+2div1/4)

$$- 2 \div 4 \times \frac { 1 } { 2 } - 12 \times ( - 15 + 2 \div \frac { 1 } { 4 } )$$

Evaluate

$$\frac{335}{4}=83.75$$

Solution Steps

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{2}\times \frac{1}{2}-12\left(-15+\frac{2}{\frac{1}{4}}\right)$$

Multiply -\frac{1}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-1}{2\times 2}-12\left(-15+\frac{2}{\frac{1}{4}}\right)$$

Do the multiplications in the fraction \frac{-1}{2\times 2}.

$$\frac{-1}{4}-12\left(-15+\frac{2}{\frac{1}{4}}\right)$$

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$-\frac{1}{4}-12\left(-15+\frac{2}{\frac{1}{4}}\right)$$

Divide 2 by \frac{1}{4} by multiplying 2 by the reciprocal of \frac{1}{4}.

$$-\frac{1}{4}-12\left(-15+2\times 4\right)$$

Multiply 2 and 4 to get 8.

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

Add -15 and 8 to get -7.

$$-\frac{1}{4}-12\left(-7\right)$$

Multiply 12 and -7 to get -84.

$$-\frac{1}{4}-\left(-84\right)$$

The opposite of -84 is 84.

$$-\frac{1}{4}+84$$

Convert 84 to fraction \frac{336}{4}.

$$-\frac{1}{4}+\frac{336}{4}$$

Since -\frac{1}{4} and \frac{336}{4} have the same denominator, add them by adding their numerators.

$$\frac{-1+336}{4}$$

Add -1 and 336 to get 335.

$$\frac{335}{4}$$

Factor

$$\frac{5 \cdot 67}{2 ^ {2}} = 83\frac{3}{4} = 83.75$$