Solve 4-5*(-3/16+1/16)

$$4-5 \times (- \frac{ 3 }{ 16 } + \frac{ 1 }{ 16 } )$$

Evaluate

$$\frac{37}{8}=4.625$$

Solution Steps

Since -\frac{3}{16} and \frac{1}{16} have the same denominator, add them by adding their numerators.

$$4-5\times \frac{-3+1}{16}$$

Add -3 and 1 to get -2.

$$4-5\times \frac{-2}{16}$$

Reduce the fraction \frac{-2}{16} to lowest terms by extracting and canceling out 2.

$$4-5\left(-\frac{1}{8}\right)$$

Express 5\left(-\frac{1}{8}\right) as a single fraction.

$$4-\frac{5\left(-1\right)}{8}$$

Multiply 5 and -1 to get -5.

$$4-\frac{-5}{8}$$

Fraction \frac{-5}{8} can be rewritten as -\frac{5}{8} by extracting the negative sign.

$$4-\left(-\frac{5}{8}\right)$$

The opposite of -\frac{5}{8} is \frac{5}{8}.

$$4+\frac{5}{8}$$

Convert 4 to fraction \frac{32}{8}.

$$\frac{32}{8}+\frac{5}{8}$$

Since \frac{32}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{32+5}{8}$$

Add 32 and 5 to get 37.

$$\frac{37}{8}$$

Factor

$$\frac{37}{2 ^ {3}} = 4\frac{5}{8} = 4.625$$