Solve x-(7div2)+(49div16)

$$x-(7 \div 2)+(49 \div 16)$$

Evaluate

$$x = -\frac{7}{16} = -0.4375$$

Solution Steps

Least common multiple of 2 and 16 is 16. Convert -\frac{7}{2} and \frac{49}{16} to fractions with denominator 16.

$$x-\frac{56}{16}+\frac{49}{16}$$

Since -\frac{56}{16} and \frac{49}{16} have the same denominator, add them by adding their numerators.

$$x+\frac{-56+49}{16}$$

Add -56 and 49 to get -7.

$$x-\frac{7}{16}$$

Factor

$$\frac{16x-7}{16}$$

Solution Steps

Factor out \frac{1}{16}.

$$\frac{16x-7}{16}$$

Consider 16x-56+49. Multiply and combine like terms.

$$16x-7$$

Rewrite the complete factored expression.

$$\frac{16x-7}{16}$$