Solve 1/16+27/16+3

$$\frac { 1 } { 16 } + \frac { 27 } { 16 } + 3$$

Evaluate

$$\frac{19}{4}=4.75$$

Solution Steps

Since \frac{1}{16} and \frac{27}{16} have the same denominator, add them by adding their numerators.

$$\frac{1+27}{16}+3$$

Add 1 and 27 to get 28.

$$\frac{28}{16}+3$$

Reduce the fraction \frac{28}{16} to lowest terms by extracting and canceling out 4.

$$\frac{7}{4}+3$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{7}{4}+\frac{12}{4}$$

Since \frac{7}{4} and \frac{12}{4} have the same denominator, add them by adding their numerators.

$$\frac{7+12}{4}$$

Add 7 and 12 to get 19.

$$\frac{19}{4}$$

Factor

$$\frac{19}{2 ^ {2}} = 4\frac{3}{4} = 4.75$$