Solve 1195.20/5639.64div(36+1)*24

$$\frac{ 1195.20 }{ 5639.64 } \div (36+1) \times 24$$

Evaluate

$$\frac{239040}{1738889}\approx 0.137467084$$

Solution Steps

Expand \frac{1195.2}{5639.64} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{119520}{563964}}{36+1}\times 24$$

Reduce the fraction \frac{119520}{563964} to lowest terms by extracting and canceling out 12.

$$\frac{\frac{9960}{46997}}{36+1}\times 24$$

Add 36 and 1 to get 37.

$$\frac{\frac{9960}{46997}}{37}\times 24$$

Express \frac{\frac{9960}{46997}}{37} as a single fraction.

$$\frac{9960}{46997\times 37}\times 24$$

Multiply 46997 and 37 to get 1738889.

$$\frac{9960}{1738889}\times 24$$

Express \frac{9960}{1738889}\times 24 as a single fraction.

$$\frac{9960\times 24}{1738889}$$

Multiply 9960 and 24 to get 239040.

$$\frac{239040}{1738889}$$

Factor

$$\frac{5 \cdot 83 \cdot 2 ^ {6} \cdot 3 ^ {2}}{37 \cdot 46997} = 0.13746708386791798$$