Solve 31/3*17/8*4/5=

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

Evaluate

$$5$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}\times \frac{1\times 8+7}{8}\times \frac{4}{5}$$

Add 9 and 1 to get 10.

$$\frac{10}{3}\times \frac{1\times 8+7}{8}\times \frac{4}{5}$$

Multiply 1 and 8 to get 8.

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

Add 8 and 7 to get 15.

$$\frac{10}{3}\times \frac{15}{8}\times \frac{4}{5}$$

Multiply \frac{10}{3} times \frac{15}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 15}{3\times 8}\times \frac{4}{5}$$

Do the multiplications in the fraction \frac{10\times 15}{3\times 8}.

$$\frac{150}{24}\times \frac{4}{5}$$

Reduce the fraction \frac{150}{24} to lowest terms by extracting and canceling out 6.

$$\frac{25}{4}\times \frac{4}{5}$$

Multiply \frac{25}{4} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 4}{4\times 5}$$

Cancel out 4 in both numerator and denominator.

$$\frac{25}{5}$$

Divide 25 by 5 to get 5.

$$5$$

Factor

$$5$$