Solve 11+1/4064/16+5

$$11 + \frac { 1 } { 4 } 06 \frac { 4 } { 16 } + 5$$

Evaluate

$$\frac{281}{16}=17.5625$$

Solution Steps

Multiply 6 and 16 to get 96.

$$11+\frac{1}{4}\times \frac{96+4}{16}+5$$

Add 96 and 4 to get 100.

$$11+\frac{1}{4}\times \frac{100}{16}+5$$

Reduce the fraction \frac{100}{16} to lowest terms by extracting and canceling out 4.

$$11+\frac{1}{4}\times \frac{25}{4}+5$$

Multiply \frac{1}{4} times \frac{25}{4} by multiplying numerator times numerator and denominator times denominator.

$$11+\frac{1\times 25}{4\times 4}+5$$

Do the multiplications in the fraction \frac{1\times 25}{4\times 4}.

$$11+\frac{25}{16}+5$$

Convert 11 to fraction \frac{176}{16}.

$$\frac{176}{16}+\frac{25}{16}+5$$

Since \frac{176}{16} and \frac{25}{16} have the same denominator, add them by adding their numerators.

$$\frac{176+25}{16}+5$$

Add 176 and 25 to get 201.

$$\frac{201}{16}+5$$

Convert 5 to fraction \frac{80}{16}.

$$\frac{201}{16}+\frac{80}{16}$$

Since \frac{201}{16} and \frac{80}{16} have the same denominator, add them by adding their numerators.

$$\frac{201+80}{16}$$

Add 201 and 80 to get 281.

$$\frac{281}{16}$$

Factor

$$\frac{281}{2 ^ {4}} = 17\frac{9}{16} = 17.5625$$