Solve 9-27/16-311/16=

$$9 - 2 \frac { 7 } { 16 } - 3 \frac { 11 } { 16 } =$$

Evaluate

$$\frac{23}{8}=2.875$$

Solution Steps

Multiply 2 and 16 to get 32.

$$9-\frac{32+7}{16}-\frac{3\times 16+11}{16}$$

Add 32 and 7 to get 39.

$$9-\frac{39}{16}-\frac{3\times 16+11}{16}$$

Convert 9 to fraction \frac{144}{16}.

$$\frac{144}{16}-\frac{39}{16}-\frac{3\times 16+11}{16}$$

Since \frac{144}{16} and \frac{39}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{144-39}{16}-\frac{3\times 16+11}{16}$$

Subtract 39 from 144 to get 105.

$$\frac{105}{16}-\frac{3\times 16+11}{16}$$

Multiply 3 and 16 to get 48.

$$\frac{105}{16}-\frac{48+11}{16}$$

Add 48 and 11 to get 59.

$$\frac{105}{16}-\frac{59}{16}$$

Since \frac{105}{16} and \frac{59}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{105-59}{16}$$

Subtract 59 from 105 to get 46.

$$\frac{46}{16}$$

Reduce the fraction \frac{46}{16} to lowest terms by extracting and canceling out 2.

$$\frac{23}{8}$$

Factor

$$\frac{23}{2 ^ {3}} = 2\frac{7}{8} = 2.875$$