Solve 0.24-1-5/9.8*1.96/3.2

$$\frac{ 0.24-1- \frac{ 5 }{ 9.8 } \times 1.96 }{ 3.2 }$$

Evaluate

$$-0.55$$

Solution Steps

Subtract 1 from 0.24 to get -0.76.

$$\frac{-0.76-\frac{5}{9.8}\times 1.96}{3.2}$$

Expand \frac{5}{9.8} by multiplying both numerator and the denominator by 10.

$$\frac{-0.76-\frac{50}{98}\times 1.96}{3.2}$$

Reduce the fraction \frac{50}{98} to lowest terms by extracting and canceling out 2.

$$\frac{-0.76-\frac{25}{49}\times 1.96}{3.2}$$

Convert decimal number 1.96 to fraction \frac{196}{100}. Reduce the fraction \frac{196}{100} to lowest terms by extracting and canceling out 4.

$$\frac{-0.76-\frac{25}{49}\times \frac{49}{25}}{3.2}$$

Cancel out \frac{25}{49} and its reciprocal \frac{49}{25}.

$$\frac{-0.76-1}{3.2}$$

Subtract 1 from -0.76 to get -1.76.

$$\frac{-1.76}{3.2}$$

Expand \frac{-1.76}{3.2} by multiplying both numerator and the denominator by 100.

$$\frac{-176}{320}$$

Reduce the fraction \frac{-176}{320} to lowest terms by extracting and canceling out 16.

$$-\frac{11}{20}$$

Factor

$$-0.55$$