Solve 3(22/3+1/6)-0.7=

$$3( 2 \frac { 2 } { 3 } + \frac{ 1 }{ 6 } )-0.7=$$

Evaluate

$$7.8$$

Solution Steps

Multiply 2 and 3 to get 6.

$$3\left(\frac{6+2}{3}+\frac{1}{6}\right)-0.7$$

Add 6 and 2 to get 8.

$$3\left(\frac{8}{3}+\frac{1}{6}\right)-0.7$$

Least common multiple of 3 and 6 is 6. Convert \frac{8}{3} and \frac{1}{6} to fractions with denominator 6.

$$3\left(\frac{16}{6}+\frac{1}{6}\right)-0.7$$

Since \frac{16}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$3\times \frac{16+1}{6}-0.7$$

Add 16 and 1 to get 17.

$$3\times \frac{17}{6}-0.7$$

Express 3\times \frac{17}{6} as a single fraction.

$$\frac{3\times 17}{6}-0.7$$

Multiply 3 and 17 to get 51.

$$\frac{51}{6}-0.7$$

Reduce the fraction \frac{51}{6} to lowest terms by extracting and canceling out 3.

$$\frac{17}{2}-0.7$$

Convert decimal number 0.7 to fraction \frac{7}{10}.

$$\frac{17}{2}-\frac{7}{10}$$

Least common multiple of 2 and 10 is 10. Convert \frac{17}{2} and \frac{7}{10} to fractions with denominator 10.

$$\frac{85}{10}-\frac{7}{10}$$

Since \frac{85}{10} and \frac{7}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-7}{10}$$

Subtract 7 from 85 to get 78.

$$\frac{78}{10}$$

Reduce the fraction \frac{78}{10} to lowest terms by extracting and canceling out 2.

$$\frac{39}{5}$$

Factor

$$\frac{3 \cdot 13}{5} = 7\frac{4}{5} = 7.8$$