Solve 31/2*5*3/7

$$3 \frac{ 1 }{ 2 } \times 5 \times \frac{ 3 }{ 7 }$$

Evaluate

$$\frac{15}{2}=7.5$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}\times 5\times \frac{3}{7}$$

Add 6 and 1 to get 7.

$$\frac{7}{2}\times 5\times \frac{3}{7}$$

Express \frac{7}{2}\times 5 as a single fraction.

$$\frac{7\times 5}{2}\times \frac{3}{7}$$

Multiply 7 and 5 to get 35.

$$\frac{35}{2}\times \frac{3}{7}$$

Multiply \frac{35}{2} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 3}{2\times 7}$$

Do the multiplications in the fraction \frac{35\times 3}{2\times 7}.

$$\frac{105}{14}$$

Reduce the fraction \frac{105}{14} to lowest terms by extracting and canceling out 7.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$