Solve 2.4-1-5/9.81.96/3.2

$$\frac{ 2.4-1- \frac{ 5 }{ 9.8 } 1.96 }{ 3.2 }$$

Evaluate

$$0.125$$

Solution Steps

Subtract 1 from 2.4 to get 1.4.

$$\frac{1.4-\frac{5}{9.8}\times 1.96}{3.2}$$

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

$$\frac{1.4-\frac{50}{98}\times 1.96}{3.2}$$

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

$$\frac{1.4-\frac{25}{49}\times 1.96}{3.2}$$

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.

$$\frac{1.4-\frac{25}{49}\times \frac{49}{25}}{3.2}$$

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

$$\frac{1.4-1}{3.2}$$

Subtract 1 from 1.4 to get 0.4.

$$\frac{0.4}{3.2}$$

Expand \frac{0.4}{3.2} by multiplying both numerator and the denominator by 10.

$$\frac{4}{32}$$

Reduce the fraction \frac{4}{32} to lowest terms by extracting and canceling out 4.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$