Solve 7-3/2*4-1/3*(2-1/10)

$$7 - \frac { 3 } { 2 } * 4 - \frac { 1 } { 3 } \cdot ( \frac { 2 - 1 } { 10 } )$$

Evaluate

$$\frac{29}{30}\approx 0.966666667$$

Solution Steps

Express \frac{3}{2}\times 4 as a single fraction.

$$7-\frac{3\times 4}{2}-\frac{1}{3}\times \frac{2-1}{10}$$

Multiply 3 and 4 to get 12.

$$7-\frac{12}{2}-\frac{1}{3}\times \frac{2-1}{10}$$

Divide 12 by 2 to get 6.

$$7-6-\frac{1}{3}\times \frac{2-1}{10}$$

Subtract 6 from 7 to get 1.

$$1-\frac{1}{3}\times \frac{2-1}{10}$$

Subtract 1 from 2 to get 1.

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

Multiply \frac{1}{3} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 1}{3\times 10}.

$$1-\frac{1}{30}$$

Convert 1 to fraction \frac{30}{30}.

$$\frac{30}{30}-\frac{1}{30}$$

Since \frac{30}{30} and \frac{1}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-1}{30}$$

Subtract 1 from 30 to get 29.

$$\frac{29}{30}$$

Factor

$$\frac{29}{2 \cdot 3 \cdot 5} = 0.9666666666666667$$