Solve 19.62/2-1/2/9.81/4

$$\frac{ \frac{ \frac{ 19.62 }{ 2 } - \frac{ 1 }{ 2 } }{ 9.81 } }{ 4 }$$

Evaluate

$$\frac{931}{3924}\approx 0.2372579$$

Solution Steps

Express \frac{\frac{\frac{19.62}{2}-\frac{1}{2}}{9.81}}{4} as a single fraction.

$$\frac{\frac{19.62}{2}-\frac{1}{2}}{9.81\times 4}$$

Expand \frac{19.62}{2} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{1962}{200}-\frac{1}{2}}{9.81\times 4}$$

Reduce the fraction \frac{1962}{200} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{981}{100}-\frac{1}{2}}{9.81\times 4}$$

Least common multiple of 100 and 2 is 100. Convert \frac{981}{100} and \frac{1}{2} to fractions with denominator 100.

$$\frac{\frac{981}{100}-\frac{50}{100}}{9.81\times 4}$$

Since \frac{981}{100} and \frac{50}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{981-50}{100}}{9.81\times 4}$$

Subtract 50 from 981 to get 931.

$$\frac{\frac{931}{100}}{9.81\times 4}$$

Multiply 9.81 and 4 to get 39.24.

$$\frac{\frac{931}{100}}{39.24}$$

Express \frac{\frac{931}{100}}{39.24} as a single fraction.

$$\frac{931}{100\times 39.24}$$

Multiply 100 and 39.24 to get 3924.

$$\frac{931}{3924}$$

Factor

$$\frac{19 \cdot 7 ^ {2}}{109 \cdot 2 ^ {2} \cdot 3 ^ {2}} = 0.2372579001019368$$