Solve 1419.36div(1-0.068/6)=

$$1419.36 \div ( 1 - 0.068 / 6 ) =$$

Evaluate

$$\frac{2129040}{1483}\approx 1435.630478759$$

Solution Steps

Expand \frac{0.068}{6} by multiplying both numerator and the denominator by 1000.

$$\frac{1419.36}{1-\frac{68}{6000}}$$

Reduce the fraction \frac{68}{6000} to lowest terms by extracting and canceling out 4.

$$\frac{1419.36}{1-\frac{17}{1500}}$$

Convert 1 to fraction \frac{1500}{1500}.

$$\frac{1419.36}{\frac{1500}{1500}-\frac{17}{1500}}$$

Since \frac{1500}{1500} and \frac{17}{1500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1419.36}{\frac{1500-17}{1500}}$$

Subtract 17 from 1500 to get 1483.

$$\frac{1419.36}{\frac{1483}{1500}}$$

Divide 1419.36 by \frac{1483}{1500} by multiplying 1419.36 by the reciprocal of \frac{1483}{1500}.

$$1419.36\times \frac{1500}{1483}$$

Convert decimal number 1419.36 to fraction \frac{141936}{100}. Reduce the fraction \frac{141936}{100} to lowest terms by extracting and canceling out 4.

$$\frac{35484}{25}\times \frac{1500}{1483}$$

Multiply \frac{35484}{25} times \frac{1500}{1483} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35484\times 1500}{25\times 1483}$$

Do the multiplications in the fraction \frac{35484\times 1500}{25\times 1483}.

$$\frac{53226000}{37075}$$

Reduce the fraction \frac{53226000}{37075} to lowest terms by extracting and canceling out 25.

$$\frac{2129040}{1483}$$

Factor

$$\frac{5 \cdot 2957 \cdot 2 ^ {4} \cdot 3 ^ {2}}{1483} = 1435\frac{935}{1483} = 1435.6304787592717$$