Solve 20.1+0.921/1.7

$$20.1+ \frac{ 0.921 }{ 1.7 }$$

Evaluate

$$\frac{35091}{1700}\approx 20.641764706$$

Solution Steps

Expand \frac{0.921}{1.7} by multiplying both numerator and the denominator by 1000.

$$20.1+\frac{921}{1700}$$

Convert decimal number 20.1 to fraction \frac{201}{10}.

$$\frac{201}{10}+\frac{921}{1700}$$

Least common multiple of 10 and 1700 is 1700. Convert \frac{201}{10} and \frac{921}{1700} to fractions with denominator 1700.

$$\frac{34170}{1700}+\frac{921}{1700}$$

Since \frac{34170}{1700} and \frac{921}{1700} have the same denominator, add them by adding their numerators.

$$\frac{34170+921}{1700}$$

Add 34170 and 921 to get 35091.

$$\frac{35091}{1700}$$

Factor

$$\frac{7 \cdot 557 \cdot 3 ^ {2}}{17 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 20\frac{1091}{1700} = 20.641764705882352$$