Solve 1322.307-(0.0198)*1059/0.234

$$1322.307 - \frac { ( 0.0198 ) \cdot 1059 } { 0.234 }$$

Evaluate

$$\frac{16025091}{13000}\approx 1232.699307692$$

Solution Steps

Multiply 0.0198 and 1059 to get 20.9682.

$$1322.307-\frac{20.9682}{0.234}$$

Expand \frac{20.9682}{0.234} by multiplying both numerator and the denominator by 10000.

$$1322.307-\frac{209682}{2340}$$

Reduce the fraction \frac{209682}{2340} to lowest terms by extracting and canceling out 18.

$$1322.307-\frac{11649}{130}$$

Convert decimal number 1322.307 to fraction \frac{1322307}{1000}.

$$\frac{1322307}{1000}-\frac{11649}{130}$$

Least common multiple of 1000 and 130 is 13000. Convert \frac{1322307}{1000} and \frac{11649}{130} to fractions with denominator 13000.

$$\frac{17189991}{13000}-\frac{1164900}{13000}$$

Since \frac{17189991}{13000} and \frac{1164900}{13000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17189991-1164900}{13000}$$

Subtract 1164900 from 17189991 to get 16025091.

$$\frac{16025091}{13000}$$

Factor

$$\frac{3 \cdot 191 \cdot 27967}{13 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 1232\frac{9091}{13000} = 1232.6993076923077$$