Solve (-9.6)(7.5div9.9-4.5)

$$( - 9.6 ) ( 7.5 \div 9.9 - 4.5 )$$

Evaluate

$$\frac{1976}{55}\approx 35.927272727$$

Solution Steps

Expand \frac{7.5}{9.9} by multiplying both numerator and the denominator by 10.

$$-9.6\left(\frac{75}{99}-4.5\right)$$

Reduce the fraction \frac{75}{99} to lowest terms by extracting and canceling out 3.

$$-9.6\left(\frac{25}{33}-4.5\right)$$

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$-9.6\left(\frac{25}{33}-\frac{9}{2}\right)$$

Least common multiple of 33 and 2 is 66. Convert \frac{25}{33} and \frac{9}{2} to fractions with denominator 66.

$$-9.6\left(\frac{50}{66}-\frac{297}{66}\right)$$

Since \frac{50}{66} and \frac{297}{66} have the same denominator, subtract them by subtracting their numerators.

$$-9.6\times \frac{50-297}{66}$$

Subtract 297 from 50 to get -247.

$$-9.6\left(-\frac{247}{66}\right)$$

Convert decimal number -9.6 to fraction -\frac{96}{10}. Reduce the fraction -\frac{96}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{48}{5}\left(-\frac{247}{66}\right)$$

Multiply -\frac{48}{5} times -\frac{247}{66} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-48\left(-247\right)}{5\times 66}$$

Do the multiplications in the fraction \frac{-48\left(-247\right)}{5\times 66}.

$$\frac{11856}{330}$$

Reduce the fraction \frac{11856}{330} to lowest terms by extracting and canceling out 6.

$$\frac{1976}{55}$$

Factor

$$\frac{13 \cdot 19 \cdot 2 ^ {3}}{5 \cdot 11} = 35\frac{51}{55} = 35.92727272727273$$