Solve 6+16*2/9-26*4/81

$$6 + 16 \times \frac { 2 } { 9 } - 26 \times \frac { 4 } { 81 }$$

Evaluate

$$\frac{670}{81}\approx 8.271604938$$

Solution Steps

Express 16\times \frac{2}{9} as a single fraction.

$$6+\frac{16\times 2}{9}-26\times \frac{4}{81}$$

Multiply 16 and 2 to get 32.

$$6+\frac{32}{9}-26\times \frac{4}{81}$$

Convert 6 to fraction \frac{54}{9}.

$$\frac{54}{9}+\frac{32}{9}-26\times \frac{4}{81}$$

Since \frac{54}{9} and \frac{32}{9} have the same denominator, add them by adding their numerators.

$$\frac{54+32}{9}-26\times \frac{4}{81}$$

Add 54 and 32 to get 86.

$$\frac{86}{9}-26\times \frac{4}{81}$$

Express 26\times \frac{4}{81} as a single fraction.

$$\frac{86}{9}-\frac{26\times 4}{81}$$

Multiply 26 and 4 to get 104.

$$\frac{86}{9}-\frac{104}{81}$$

Least common multiple of 9 and 81 is 81. Convert \frac{86}{9} and \frac{104}{81} to fractions with denominator 81.

$$\frac{774}{81}-\frac{104}{81}$$

Since \frac{774}{81} and \frac{104}{81} have the same denominator, subtract them by subtracting their numerators.

$$\frac{774-104}{81}$$

Subtract 104 from 774 to get 670.

$$\frac{670}{81}$$

Factor

$$\frac{2 \cdot 5 \cdot 67}{3 ^ {4}} = 8\frac{22}{81} = 8.271604938271604$$