Solve 4div5+14.5*4/5

$$4 \div 5+14.5 \times \frac{ 4 }{ 5 }$$

Evaluate

$$12.4$$

Solution Steps

Convert decimal number 14.5 to fraction \frac{145}{10}. Reduce the fraction \frac{145}{10} to lowest terms by extracting and canceling out 5.

$$\frac{4}{5}+\frac{29}{2}\times \frac{4}{5}$$

Multiply \frac{29}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{5}+\frac{29\times 4}{2\times 5}$$

Do the multiplications in the fraction \frac{29\times 4}{2\times 5}.

$$\frac{4}{5}+\frac{116}{10}$$

Reduce the fraction \frac{116}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}+\frac{58}{5}$$

Since \frac{4}{5} and \frac{58}{5} have the same denominator, add them by adding their numerators.

$$\frac{4+58}{5}$$

Add 4 and 58 to get 62.

$$\frac{62}{5}$$

Factor

$$\frac{2 \cdot 31}{5} = 12\frac{2}{5} = 12.4$$