Solve 7.05-(0.16740*85div12)

$$7.05-(0.16740 \times 85 \div 12)$$

Evaluate

$$5.86425$$

Solution Steps

Multiply 0.1674 and 85 to get 14.229.

$$7.05-\frac{14.229}{12}$$

Expand \frac{14.229}{12} by multiplying both numerator and the denominator by 1000.

$$7.05-\frac{14229}{12000}$$

Reduce the fraction \frac{14229}{12000} to lowest terms by extracting and canceling out 3.

$$7.05-\frac{4743}{4000}$$

Convert decimal number 7.05 to fraction \frac{705}{100}. Reduce the fraction \frac{705}{100} to lowest terms by extracting and canceling out 5.

$$\frac{141}{20}-\frac{4743}{4000}$$

Least common multiple of 20 and 4000 is 4000. Convert \frac{141}{20} and \frac{4743}{4000} to fractions with denominator 4000.

$$\frac{28200}{4000}-\frac{4743}{4000}$$

Since \frac{28200}{4000} and \frac{4743}{4000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28200-4743}{4000}$$

Subtract 4743 from 28200 to get 23457.

$$\frac{23457}{4000}$$

Factor

$$\frac{3 \cdot 7 \cdot 1117}{2 ^ {5} \cdot 5 ^ {3}} = 5\frac{3457}{4000} = 5.86425$$