Solve 13/7*4/5*82/3=

$$1 \frac { 3 } { 7 } \times \frac { 4 } { 5 } \times 8 \frac { 2 } { 3 } =$$

Evaluate

$$\frac{208}{21}\approx 9.904761905$$

Solution Steps

Multiply 1 and 7 to get 7.

$$\frac{7+3}{7}\times \frac{4}{5}\times \frac{8\times 3+2}{3}$$

Add 7 and 3 to get 10.

$$\frac{10}{7}\times \frac{4}{5}\times \frac{8\times 3+2}{3}$$

Multiply \frac{10}{7} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 4}{7\times 5}\times \frac{8\times 3+2}{3}$$

Do the multiplications in the fraction \frac{10\times 4}{7\times 5}.

$$\frac{40}{35}\times \frac{8\times 3+2}{3}$$

Reduce the fraction \frac{40}{35} to lowest terms by extracting and canceling out 5.

$$\frac{8}{7}\times \frac{8\times 3+2}{3}$$

Multiply 8 and 3 to get 24.

$$\frac{8}{7}\times \frac{24+2}{3}$$

Add 24 and 2 to get 26.

$$\frac{8}{7}\times \frac{26}{3}$$

Multiply \frac{8}{7} times \frac{26}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 26}{7\times 3}$$

Do the multiplications in the fraction \frac{8\times 26}{7\times 3}.

$$\frac{208}{21}$$

Factor

$$\frac{2 ^ {4} \cdot 13}{3 \cdot 7} = 9\frac{19}{21} = 9.904761904761905$$