Solve 10log(10)5.5/10+5.5/10

$$10 \log ( 10 ) \frac{ 5.5 }{ 10 } + \frac{ 5.5 }{ 10 }$$

Evaluate

$$6.05$$

Solution Steps

The base 10 logarithm of 10 is 1.

$$10\times 1\times \frac{5.5}{10}+\frac{5.5}{10}$$

Multiply 10 and 1 to get 10.

$$10\times \frac{5.5}{10}+\frac{5.5}{10}$$

Expand \frac{5.5}{10} by multiplying both numerator and the denominator by 10.

$$10\times \frac{55}{100}+\frac{5.5}{10}$$

Reduce the fraction \frac{55}{100} to lowest terms by extracting and canceling out 5.

$$10\times \frac{11}{20}+\frac{5.5}{10}$$

Multiply 10 and \frac{11}{20} to get \frac{11}{2}.

$$\frac{11}{2}+\frac{5.5}{10}$$

Expand \frac{5.5}{10} by multiplying both numerator and the denominator by 10.

$$\frac{11}{2}+\frac{55}{100}$$

Reduce the fraction \frac{55}{100} to lowest terms by extracting and canceling out 5.

$$\frac{11}{2}+\frac{11}{20}$$

Add \frac{11}{2} and \frac{11}{20} to get \frac{121}{20}.

$$\frac{121}{20}$$

Factor

$$\frac{11 ^ {2}}{5 \cdot 2 ^ {2}} = 6\frac{1}{20} = 6.05$$