Solve 0.85-0.05(40-30)div7

$$0.85-0.05(40-30) \div 7$$

Evaluate

$$\frac{109}{140}\approx 0.778571429$$

Solution Steps

Subtract 30 from 40 to get 10.

$$0.85-\frac{0.05\times 10}{7}$$

Multiply 0.05 and 10 to get 0.5.

$$0.85-\frac{0.5}{7}$$

Expand \frac{0.5}{7} by multiplying both numerator and the denominator by 10.

$$0.85-\frac{5}{70}$$

Reduce the fraction \frac{5}{70} to lowest terms by extracting and canceling out 5.

$$0.85-\frac{1}{14}$$

Convert decimal number 0.85 to fraction \frac{85}{100}. Reduce the fraction \frac{85}{100} to lowest terms by extracting and canceling out 5.

$$\frac{17}{20}-\frac{1}{14}$$

Least common multiple of 20 and 14 is 140. Convert \frac{17}{20} and \frac{1}{14} to fractions with denominator 140.

$$\frac{119}{140}-\frac{10}{140}$$

Since \frac{119}{140} and \frac{10}{140} have the same denominator, subtract them by subtracting their numerators.

$$\frac{119-10}{140}$$

Subtract 10 from 119 to get 109.

$$\frac{109}{140}$$

Factor

$$\frac{109}{5 \cdot 7 \cdot 2 ^ {2}} = 0.7785714285714286$$