Solve 12/3*5/8*31/2

$$\frac { 12 } { 3 } \times \frac { 5 } { 8 } \times 3 \frac { 1 } { 2 }$$

Evaluate

$$\frac{35}{4}=8.75$$

Solution Steps

Divide 12 by 3 to get 4.

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

Express 4\times \frac{5}{8} as a single fraction.

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

Multiply 4 and 5 to get 20.

$$\frac{20}{8}\times \frac{3\times 2+1}{2}$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

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

Multiply 3 and 2 to get 6.

$$\frac{5}{2}\times \frac{6+1}{2}$$

Add 6 and 1 to get 7.

$$\frac{5}{2}\times \frac{7}{2}$$

Multiply \frac{5}{2} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 7}{2\times 2}$$

Do the multiplications in the fraction \frac{5\times 7}{2\times 2}.

$$\frac{35}{4}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2}} = 8\frac{3}{4} = 8.75$$