Solve 31/15*22/9*3/8=

$$3 \frac { 1 } { 15 } \times 2 \frac { 2 } { 9 } \times \frac { 3 } { 8 } =$$

Evaluate

$$\frac{23}{9}\approx 2.555555556$$

Solution Steps

Multiply 3 and 15 to get 45.

$$\frac{45+1}{15}\times \frac{2\times 9+2}{9}\times \frac{3}{8}$$

Add 45 and 1 to get 46.

$$\frac{46}{15}\times \frac{2\times 9+2}{9}\times \frac{3}{8}$$

Multiply 2 and 9 to get 18.

$$\frac{46}{15}\times \frac{18+2}{9}\times \frac{3}{8}$$

Add 18 and 2 to get 20.

$$\frac{46}{15}\times \frac{20}{9}\times \frac{3}{8}$$

Multiply \frac{46}{15} times \frac{20}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{46\times 20}{15\times 9}\times \frac{3}{8}$$

Do the multiplications in the fraction \frac{46\times 20}{15\times 9}.

$$\frac{920}{135}\times \frac{3}{8}$$

Reduce the fraction \frac{920}{135} to lowest terms by extracting and canceling out 5.

$$\frac{184}{27}\times \frac{3}{8}$$

Multiply \frac{184}{27} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{184\times 3}{27\times 8}$$

Do the multiplications in the fraction \frac{184\times 3}{27\times 8}.

$$\frac{552}{216}$$

Reduce the fraction \frac{552}{216} to lowest terms by extracting and canceling out 24.

$$\frac{23}{9}$$

Factor

$$\frac{23}{3 ^ {2}} = 2\frac{5}{9} = 2.5555555555555554$$