Solve (44div97)*1.1768div(4-1.1768)*100

$$(44 \div 97) \times 1.1768 \div (4-1.1768) \times 100$$

Evaluate

$$\frac{6472400}{342313}\approx 18.907841654$$

Solution Steps

Convert decimal number 1.1768 to fraction \frac{11768}{10000}. Reduce the fraction \frac{11768}{10000} to lowest terms by extracting and canceling out 8.

$$\frac{\frac{44}{97}\times \frac{1471}{1250}}{4-1.1768}\times 100$$

Multiply \frac{44}{97} times \frac{1471}{1250} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{44\times 1471}{97\times 1250}}{4-1.1768}\times 100$$

Do the multiplications in the fraction \frac{44\times 1471}{97\times 1250}.

$$\frac{\frac{64724}{121250}}{4-1.1768}\times 100$$

Reduce the fraction \frac{64724}{121250} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{32362}{60625}}{4-1.1768}\times 100$$

Subtract 1.1768 from 4 to get 2.8232.

$$\frac{\frac{32362}{60625}}{2.8232}\times 100$$

Express \frac{\frac{32362}{60625}}{2.8232} as a single fraction.

$$\frac{32362}{60625\times 2.8232}\times 100$$

Multiply 60625 and 2.8232 to get 171156.5.

$$\frac{32362}{171156.5}\times 100$$

Expand \frac{32362}{171156.5} by multiplying both numerator and the denominator by 10.

$$\frac{323620}{1711565}\times 100$$

Reduce the fraction \frac{323620}{1711565} to lowest terms by extracting and canceling out 5.

$$\frac{64724}{342313}\times 100$$

Express \frac{64724}{342313}\times 100 as a single fraction.

$$\frac{64724\times 100}{342313}$$

Multiply 64724 and 100 to get 6472400.

$$\frac{6472400}{342313}$$

Factor

$$\frac{11 \cdot 1471 \cdot 2 ^ {4} \cdot 5 ^ {2}}{97 \cdot 3529} = 18\frac{310766}{342313} = 18.90784165369121$$