Solve 31/2*11/2*2

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

Evaluate

$$\frac{21}{2}=10.5$$

Solution Steps

Multiply 3 and 2 to get 6.

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

Add 6 and 1 to get 7.

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

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

$$\frac{7}{2}\times \frac{3}{2}\times 2$$

Multiply \frac{7}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{2\times 2}\times 2$$

Do the multiplications in the fraction \frac{7\times 3}{2\times 2}.

$$\frac{21}{4}\times 2$$

Express \frac{21}{4}\times 2 as a single fraction.

$$\frac{21\times 2}{4}$$

Multiply 21 and 2 to get 42.

$$\frac{42}{4}$$

Reduce the fraction \frac{42}{4} to lowest terms by extracting and canceling out 2.

$$\frac{21}{2}$$

Factor

$$\frac{3 \cdot 7}{2} = 10\frac{1}{2} = 10.5$$