Solve 31/2*41/2*6

$$3 \frac { 1 } { 2 } \cdot 4 \frac { 1 } { 2 } \cdot 6$$

Evaluate

$$\frac{189}{2}=94.5$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}\times \frac{4\times 2+1}{2}\times 6$$

Add 6 and 1 to get 7.

$$\frac{7}{2}\times \frac{4\times 2+1}{2}\times 6$$

Multiply 4 and 2 to get 8.

$$\frac{7}{2}\times \frac{8+1}{2}\times 6$$

Add 8 and 1 to get 9.

$$\frac{7}{2}\times \frac{9}{2}\times 6$$

Multiply \frac{7}{2} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 9}{2\times 2}\times 6$$

Do the multiplications in the fraction \frac{7\times 9}{2\times 2}.

$$\frac{63}{4}\times 6$$

Express \frac{63}{4}\times 6 as a single fraction.

$$\frac{63\times 6}{4}$$

Multiply 63 and 6 to get 378.

$$\frac{378}{4}$$

Reduce the fraction \frac{378}{4} to lowest terms by extracting and canceling out 2.

$$\frac{189}{2}$$

Factor

$$\frac{3 ^ {3} \cdot 7}{2} = 94\frac{1}{2} = 94.5$$