Solve 31/8+6.7+81/4

$$3 \frac { 1 } { 8 } + 6.7 + 8 \frac { 1 } { 4 }$$

Evaluate

$$18.075$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+1}{8}+6.7+\frac{8\times 4+1}{4}$$

Add 24 and 1 to get 25.

$$\frac{25}{8}+6.7+\frac{8\times 4+1}{4}$$

Convert decimal number 6.7 to fraction \frac{67}{10}.

$$\frac{25}{8}+\frac{67}{10}+\frac{8\times 4+1}{4}$$

Least common multiple of 8 and 10 is 40. Convert \frac{25}{8} and \frac{67}{10} to fractions with denominator 40.

$$\frac{125}{40}+\frac{268}{40}+\frac{8\times 4+1}{4}$$

Since \frac{125}{40} and \frac{268}{40} have the same denominator, add them by adding their numerators.

$$\frac{125+268}{40}+\frac{8\times 4+1}{4}$$

Add 125 and 268 to get 393.

$$\frac{393}{40}+\frac{8\times 4+1}{4}$$

Multiply 8 and 4 to get 32.

$$\frac{393}{40}+\frac{32+1}{4}$$

Add 32 and 1 to get 33.

$$\frac{393}{40}+\frac{33}{4}$$

Least common multiple of 40 and 4 is 40. Convert \frac{393}{40} and \frac{33}{4} to fractions with denominator 40.

$$\frac{393}{40}+\frac{330}{40}$$

Since \frac{393}{40} and \frac{330}{40} have the same denominator, add them by adding their numerators.

$$\frac{393+330}{40}$$

Add 393 and 330 to get 723.

$$\frac{723}{40}$$

Factor

$$\frac{3 \cdot 241}{5 \cdot 2 ^ {3}} = 18\frac{3}{40} = 18.075$$