Solve 12.6+0.48div(13-103/5)

$$12.6 + 0.48 \div ( 13 - 10 \frac { 3 } { 5 } )$$

Evaluate

$$12.8$$

Solution Steps

Multiply 10 and 5 to get 50.

$$12.6+\frac{0.48}{13-\frac{50+3}{5}}$$

Add 50 and 3 to get 53.

$$12.6+\frac{0.48}{13-\frac{53}{5}}$$

Convert 13 to fraction \frac{65}{5}.

$$12.6+\frac{0.48}{\frac{65}{5}-\frac{53}{5}}$$

Since \frac{65}{5} and \frac{53}{5} have the same denominator, subtract them by subtracting their numerators.

$$12.6+\frac{0.48}{\frac{65-53}{5}}$$

Subtract 53 from 65 to get 12.

$$12.6+\frac{0.48}{\frac{12}{5}}$$

Divide 0.48 by \frac{12}{5} by multiplying 0.48 by the reciprocal of \frac{12}{5}.

$$12.6+0.48\times \frac{5}{12}$$

Convert decimal number 0.48 to fraction \frac{48}{100}. Reduce the fraction \frac{48}{100} to lowest terms by extracting and canceling out 4.

$$12.6+\frac{12}{25}\times \frac{5}{12}$$

Multiply \frac{12}{25} times \frac{5}{12} by multiplying numerator times numerator and denominator times denominator.

$$12.6+\frac{12\times 5}{25\times 12}$$

Cancel out 12 in both numerator and denominator.

$$12.6+\frac{5}{25}$$

Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.

$$12.6+\frac{1}{5}$$

Convert decimal number 12.6 to fraction \frac{126}{10}. Reduce the fraction \frac{126}{10} to lowest terms by extracting and canceling out 2.

$$\frac{63}{5}+\frac{1}{5}$$

Since \frac{63}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$\frac{63+1}{5}$$

Add 63 and 1 to get 64.

$$\frac{64}{5}$$

Factor

$$\frac{2 ^ {6}}{5} = 12\frac{4}{5} = 12.8$$