Solve 21/8+1/16+1/4=

$$2 \frac { 1 } { 8 } + \frac { 1 } { 16 } + \frac { 1 } { 4 } =$$

Evaluate

$$\frac{39}{16}=2.4375$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{16+1}{8}+\frac{1}{16}+\frac{1}{4}$$

Add 16 and 1 to get 17.

$$\frac{17}{8}+\frac{1}{16}+\frac{1}{4}$$

Least common multiple of 8 and 16 is 16. Convert \frac{17}{8} and \frac{1}{16} to fractions with denominator 16.

$$\frac{34}{16}+\frac{1}{16}+\frac{1}{4}$$

Since \frac{34}{16} and \frac{1}{16} have the same denominator, add them by adding their numerators.

$$\frac{34+1}{16}+\frac{1}{4}$$

Add 34 and 1 to get 35.

$$\frac{35}{16}+\frac{1}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{35}{16} and \frac{1}{4} to fractions with denominator 16.

$$\frac{35}{16}+\frac{4}{16}$$

Since \frac{35}{16} and \frac{4}{16} have the same denominator, add them by adding their numerators.

$$\frac{35+4}{16}$$

Add 35 and 4 to get 39.

$$\frac{39}{16}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {4}} = 2\frac{7}{16} = 2.4375$$