Solve 4/5*10/3+2/1

$$\frac{ 4 }{ 5 } \times \frac{ 10 }{ 3 } + \frac{ 2 }{ 1 }$$

Evaluate

$$\frac{14}{3}\approx 4.666666667$$

Solution Steps

Multiply \frac{4}{5} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 10}{5\times 3}+\frac{2}{1}$$

Do the multiplications in the fraction \frac{4\times 10}{5\times 3}.

$$\frac{40}{15}+\frac{2}{1}$$

Reduce the fraction \frac{40}{15} to lowest terms by extracting and canceling out 5.

$$\frac{8}{3}+\frac{2}{1}$$

Anything divided by one gives itself.

$$\frac{8}{3}+2$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{8}{3}+\frac{6}{3}$$

Since \frac{8}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$\frac{8+6}{3}$$

Add 8 and 6 to get 14.

$$\frac{14}{3}$$

Factor

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$