Solve 4.25div2.5*99+0.17

$$4.25 \div 2.5 \times 99+0.17$$

Evaluate

$$168.47$$

Solution Steps

Expand \frac{4.25}{2.5} by multiplying both numerator and the denominator by 100.

$$\frac{425}{250}\times 99+0.17$$

Reduce the fraction \frac{425}{250} to lowest terms by extracting and canceling out 25.

$$\frac{17}{10}\times 99+0.17$$

Express \frac{17}{10}\times 99 as a single fraction.

$$\frac{17\times 99}{10}+0.17$$

Multiply 17 and 99 to get 1683.

$$\frac{1683}{10}+0.17$$

Convert decimal number 0.17 to fraction \frac{17}{100}.

$$\frac{1683}{10}+\frac{17}{100}$$

Least common multiple of 10 and 100 is 100. Convert \frac{1683}{10} and \frac{17}{100} to fractions with denominator 100.

$$\frac{16830}{100}+\frac{17}{100}$$

Since \frac{16830}{100} and \frac{17}{100} have the same denominator, add them by adding their numerators.

$$\frac{16830+17}{100}$$

Add 16830 and 17 to get 16847.

$$\frac{16847}{100}$$

Factor

$$\frac{17 \cdot 991}{2 ^ {2} \cdot 5 ^ {2}} = 168\frac{47}{100} = 168.47$$