Solve 3/5div6*3-10

$$\frac { 3 } { 5 } \div 6 \times 3 - 10$$

Evaluate

$$-\frac{97}{10}=-9.7$$

Solution Steps

Express \frac{\frac{3}{5}}{6} as a single fraction.

$$\frac{3}{5\times 6}\times 3-10$$

Multiply 5 and 6 to get 30.

$$\frac{3}{30}\times 3-10$$

Reduce the fraction \frac{3}{30} to lowest terms by extracting and canceling out 3.

$$\frac{1}{10}\times 3-10$$

Multiply \frac{1}{10} and 3 to get \frac{3}{10}.

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

Convert 10 to fraction \frac{100}{10}.

$$\frac{3}{10}-\frac{100}{10}$$

Since \frac{3}{10} and \frac{100}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-100}{10}$$

Subtract 100 from 3 to get -97.

$$-\frac{97}{10}$$

Factor

$$-\frac{97}{10} = -9\frac{7}{10} = -9.7$$