Solve 21/2*41/5

$$2 \frac { 1 } { 2 } \cdot 4 \frac { 1 } { 5 }$$

Evaluate

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

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

Multiply 4 and 5 to get 20.

$$\frac{5}{2}\times \frac{20+1}{5}$$

Add 20 and 1 to get 21.

$$\frac{5}{2}\times \frac{21}{5}$$

Multiply \frac{5}{2} times \frac{21}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 21}{2\times 5}$$

Cancel out 5 in both numerator and denominator.

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

Factor

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