Solve 6.4+8/2*4.6

$$\frac{ 6.4+8 }{ 2 } \times 4.6$$

Evaluate

$$33.12$$

Solution Steps

Add 6.4 and 8 to get 14.4.

$$\frac{14.4}{2}\times 4.6$$

Expand \frac{14.4}{2} by multiplying both numerator and the denominator by 10.

$$\frac{144}{20}\times 4.6$$

Reduce the fraction \frac{144}{20} to lowest terms by extracting and canceling out 4.

$$\frac{36}{5}\times 4.6$$

Convert decimal number 4.6 to fraction \frac{46}{10}. Reduce the fraction \frac{46}{10} to lowest terms by extracting and canceling out 2.

$$\frac{36}{5}\times \frac{23}{5}$$

Multiply \frac{36}{5} times \frac{23}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{36\times 23}{5\times 5}$$

Do the multiplications in the fraction \frac{36\times 23}{5\times 5}.

$$\frac{828}{25}$$

Factor

$$\frac{23 \cdot 2 ^ {2} \cdot 3 ^ {2}}{5 ^ {2}} = 33\frac{3}{25} = 33.12$$