Solve 21/2*31/2*4/7

$$2 \frac { 1 } { 2 } \times 3 \frac { 1 } { 2 } \times \frac{ 4 }{ 7 }$$

Evaluate

$$5$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}\times \frac{3\times 2+1}{2}\times \frac{4}{7}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}\times \frac{3\times 2+1}{2}\times \frac{4}{7}$$

Multiply 3 and 2 to get 6.

$$\frac{5}{2}\times \frac{6+1}{2}\times \frac{4}{7}$$

Add 6 and 1 to get 7.

$$\frac{5}{2}\times \frac{7}{2}\times \frac{4}{7}$$

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

$$\frac{5\times 7}{2\times 2}\times \frac{4}{7}$$

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

$$\frac{35}{4}\times \frac{4}{7}$$

Multiply \frac{35}{4} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 4}{4\times 7}$$

Cancel out 4 in both numerator and denominator.

$$\frac{35}{7}$$

Divide 35 by 7 to get 5.

$$5$$

Factor

$$5$$