Solve 4.17+4.175/5

$$4.17+ \frac{ 4.175 }{ 5 }$$

Evaluate

$$5.005$$

Solution Steps

Expand \frac{4.175}{5} by multiplying both numerator and the denominator by 1000.

$$4.17+\frac{4175}{5000}$$

Reduce the fraction \frac{4175}{5000} to lowest terms by extracting and canceling out 25.

$$4.17+\frac{167}{200}$$

Convert decimal number 4.17 to fraction \frac{417}{100}.

$$\frac{417}{100}+\frac{167}{200}$$

Least common multiple of 100 and 200 is 200. Convert \frac{417}{100} and \frac{167}{200} to fractions with denominator 200.

$$\frac{834}{200}+\frac{167}{200}$$

Since \frac{834}{200} and \frac{167}{200} have the same denominator, add them by adding their numerators.

$$\frac{834+167}{200}$$

Add 834 and 167 to get 1001.

$$\frac{1001}{200}$$

Factor

$$\frac{7 \cdot 11 \cdot 13}{2 ^ {3} \cdot 5 ^ {2}} = 5\frac{1}{200} = 5.005$$