Solve 178.5*19/100+178.5

$$\frac{ 178.5 \times 19 }{ 100 } +178.5$$

Evaluate

$$212.415$$

Solution Steps

Multiply 178.5 and 19 to get 3391.5.

$$\frac{3391.5}{100}+178.5$$

Expand \frac{3391.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{33915}{1000}+178.5$$

Reduce the fraction \frac{33915}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{6783}{200}+178.5$$

Convert decimal number 178.5 to fraction \frac{1785}{10}. Reduce the fraction \frac{1785}{10} to lowest terms by extracting and canceling out 5.

$$\frac{6783}{200}+\frac{357}{2}$$

Least common multiple of 200 and 2 is 200. Convert \frac{6783}{200} and \frac{357}{2} to fractions with denominator 200.

$$\frac{6783}{200}+\frac{35700}{200}$$

Since \frac{6783}{200} and \frac{35700}{200} have the same denominator, add them by adding their numerators.

$$\frac{6783+35700}{200}$$

Add 6783 and 35700 to get 42483.

$$\frac{42483}{200}$$

Factor

$$\frac{3 \cdot 7 ^ {2} \cdot 17 ^ {2}}{2 ^ {3} \cdot 5 ^ {2}} = 212\frac{83}{200} = 212.415$$