Solve 31/3*13/5*217/10

$$3 \frac { 1 } { 3 } \times 1 \frac { 3 } { 5 } \times 2 \frac { 17 } { 10 }$$

Evaluate

$$\frac{296}{15}\approx 19.733333333$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}\times \frac{1\times 5+3}{5}\times \frac{2\times 10+17}{10}$$

Add 9 and 1 to get 10.

$$\frac{10}{3}\times \frac{1\times 5+3}{5}\times \frac{2\times 10+17}{10}$$

Multiply 1 and 5 to get 5.

$$\frac{10}{3}\times \frac{5+3}{5}\times \frac{2\times 10+17}{10}$$

Add 5 and 3 to get 8.

$$\frac{10}{3}\times \frac{8}{5}\times \frac{2\times 10+17}{10}$$

Multiply \frac{10}{3} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 8}{3\times 5}\times \frac{2\times 10+17}{10}$$

Do the multiplications in the fraction \frac{10\times 8}{3\times 5}.

$$\frac{80}{15}\times \frac{2\times 10+17}{10}$$

Reduce the fraction \frac{80}{15} to lowest terms by extracting and canceling out 5.

$$\frac{16}{3}\times \frac{2\times 10+17}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{16}{3}\times \frac{20+17}{10}$$

Add 20 and 17 to get 37.

$$\frac{16}{3}\times \frac{37}{10}$$

Multiply \frac{16}{3} times \frac{37}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 37}{3\times 10}$$

Do the multiplications in the fraction \frac{16\times 37}{3\times 10}.

$$\frac{592}{30}$$

Reduce the fraction \frac{592}{30} to lowest terms by extracting and canceling out 2.

$$\frac{296}{15}$$

Factor

$$\frac{2 ^ {3} \cdot 37}{3 \cdot 5} = 19\frac{11}{15} = 19.733333333333334$$