Solve 8-5*2/3-0.7=

$$8 - 5 \times \frac { 2 } { 3 } - 0.7 =$$

Evaluate

$$\frac{119}{30}\approx 3.966666667$$

Solution Steps

Express 5\times \frac{2}{3} as a single fraction.

$$8-\frac{5\times 2}{3}-0.7$$

Multiply 5 and 2 to get 10.

$$8-\frac{10}{3}-0.7$$

Convert 8 to fraction \frac{24}{3}.

$$\frac{24}{3}-\frac{10}{3}-0.7$$

Since \frac{24}{3} and \frac{10}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-10}{3}-0.7$$

Subtract 10 from 24 to get 14.

$$\frac{14}{3}-0.7$$

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

$$\frac{14}{3}-\frac{7}{10}$$

Least common multiple of 3 and 10 is 30. Convert \frac{14}{3} and \frac{7}{10} to fractions with denominator 30.

$$\frac{140}{30}-\frac{21}{30}$$

Since \frac{140}{30} and \frac{21}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{140-21}{30}$$

Subtract 21 from 140 to get 119.

$$\frac{119}{30}$$

Factor

$$\frac{7 \cdot 17}{2 \cdot 3 \cdot 5} = 3\frac{29}{30} = 3.966666666666667$$