Solve 0.6*5/12+5/frac{5{12}}

$$0.6 \times \frac{ 5 }{ 12 } + \frac{ 5 }{ \frac{ 5 }{ 12 } }$$

Evaluate

$$12.25$$

Solution Steps

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}\times \frac{5}{12}+\frac{5}{\frac{5}{12}}$$

Multiply \frac{3}{5} times \frac{5}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{5\times 12}+\frac{5}{\frac{5}{12}}$$

Cancel out 5 in both numerator and denominator.

$$\frac{3}{12}+\frac{5}{\frac{5}{12}}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{1}{4}+\frac{5}{\frac{5}{12}}$$

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

$$\frac{1}{4}+5\times \frac{12}{5}$$

Cancel out 5 and 5.

$$\frac{1}{4}+12$$

Convert 12 to fraction \frac{48}{4}.

$$\frac{1}{4}+\frac{48}{4}$$

Since \frac{1}{4} and \frac{48}{4} have the same denominator, add them by adding their numerators.

$$\frac{1+48}{4}$$

Add 1 and 48 to get 49.

$$\frac{49}{4}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {2}} = 12\frac{1}{4} = 12.25$$