Solve 18.09*(6.5div3.75-85)

$$18.09 \times ( 6.5 \div 3.75 - 85 )$$

Evaluate

$$-1506.294$$

Solution Steps

Expand \frac{6.5}{3.75} by multiplying both numerator and the denominator by 100.

$$18.09\left(\frac{650}{375}-85\right)$$

Reduce the fraction \frac{650}{375} to lowest terms by extracting and canceling out 25.

$$18.09\left(\frac{26}{15}-85\right)$$

Convert 85 to fraction \frac{1275}{15}.

$$18.09\left(\frac{26}{15}-\frac{1275}{15}\right)$$

Since \frac{26}{15} and \frac{1275}{15} have the same denominator, subtract them by subtracting their numerators.

$$18.09\times \frac{26-1275}{15}$$

Subtract 1275 from 26 to get -1249.

$$18.09\left(-\frac{1249}{15}\right)$$

Convert decimal number 18.09 to fraction \frac{1809}{100}.

$$\frac{1809}{100}\left(-\frac{1249}{15}\right)$$

Multiply \frac{1809}{100} times -\frac{1249}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1809\left(-1249\right)}{100\times 15}$$

Do the multiplications in the fraction \frac{1809\left(-1249\right)}{100\times 15}.

$$\frac{-2259441}{1500}$$

Reduce the fraction \frac{-2259441}{1500} to lowest terms by extracting and canceling out 3.

$$-\frac{753147}{500}$$

Factor

$$-1506.294$$