Solve 282*7.8%div16

$$282 \times 7.8 \% \div 16$$

Evaluate

$$1.37475$$

Solution Steps

Expand \frac{7.8}{100} by multiplying both numerator and the denominator by 10.

$$\frac{282\times \frac{78}{1000}}{16}$$

Reduce the fraction \frac{78}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{282\times \frac{39}{500}}{16}$$

Express 282\times \frac{39}{500} as a single fraction.

$$\frac{\frac{282\times 39}{500}}{16}$$

Multiply 282 and 39 to get 10998.

$$\frac{\frac{10998}{500}}{16}$$

Reduce the fraction \frac{10998}{500} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{5499}{250}}{16}$$

Express \frac{\frac{5499}{250}}{16} as a single fraction.

$$\frac{5499}{250\times 16}$$

Multiply 250 and 16 to get 4000.

$$\frac{5499}{4000}$$

Factor

$$\frac{13 \cdot 47 \cdot 3 ^ {2}}{2 ^ {5} \cdot 5 ^ {3}} = 1\frac{1499}{4000} = 1.37475$$