Solve (5/5*21/2)*1/4div5/5

$$( \frac { 5 } { 5 } \times 2 \frac { 1 } { 2 } ) \times \frac { 1 } { 4 } \div \frac { 5 } { 5 }$$

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Divide 5 by 5 to get 1.

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

Divide 5 by 5 to get 1.

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

Cancel out 1 and 1.

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

Multiply \frac{2\times 2+1}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

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

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

Multiply 2 and 4 to get 8.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$