Solve (t)2/5div21/2quad(u)21/5

$$( t ) \frac { 2 } { 5 } \div 2 \frac { 1 } { 2 } \quad ( u ) 2 \frac { 1 } { 5 }$$

Evaluate

$$\frac{44tu}{125}$$

Solution Steps

Divide t\times \frac{2}{5} by \frac{2\times 2+1}{2} by multiplying t\times \frac{2}{5} by the reciprocal of \frac{2\times 2+1}{2}.

$$\frac{t\times \frac{2}{5}\times 2}{2\times 2+1}u\times \frac{2\times 5+1}{5}$$

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

$$\frac{t\times \frac{2\times 2}{5}}{2\times 2+1}u\times \frac{2\times 5+1}{5}$$

Multiply 2 and 2 to get 4.

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

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

Divide t\times \frac{4}{5} by 5 to get t\times \frac{4}{25}.

$$t\times \frac{4}{25}u\times \frac{2\times 5+1}{5}$$

Multiply 2 and 5 to get 10.

$$t\times \frac{4}{25}u\times \frac{10+1}{5}$$

Add 10 and 1 to get 11.

$$t\times \frac{4}{25}u\times \frac{11}{5}$$

Multiply \frac{4}{25} times \frac{11}{5} by multiplying numerator times numerator and denominator times denominator.

$$t\times \frac{4\times 11}{25\times 5}u$$

Do the multiplications in the fraction \frac{4\times 11}{25\times 5}.

$$t\times \frac{44}{125}u$$

Expand

$$\frac{44tu}{125}$$

Solution Steps

Divide t\times \frac{2}{5} by \frac{2\times 2+1}{2} by multiplying t\times \frac{2}{5} by the reciprocal of \frac{2\times 2+1}{2}.

$$\frac{t\times \frac{2}{5}\times 2}{2\times 2+1}u\times \frac{2\times 5+1}{5}$$

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

$$\frac{t\times \frac{2\times 2}{5}}{2\times 2+1}u\times \frac{2\times 5+1}{5}$$

Multiply 2 and 2 to get 4.

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

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

Divide t\times \frac{4}{5} by 5 to get t\times \frac{4}{25}.

$$t\times \frac{4}{25}u\times \frac{2\times 5+1}{5}$$

Multiply 2 and 5 to get 10.

$$t\times \frac{4}{25}u\times \frac{10+1}{5}$$

Add 10 and 1 to get 11.

$$t\times \frac{4}{25}u\times \frac{11}{5}$$

Multiply \frac{4}{25} times \frac{11}{5} by multiplying numerator times numerator and denominator times denominator.

$$t\times \frac{4\times 11}{25\times 5}u$$

Do the multiplications in the fraction \frac{4\times 11}{25\times 5}.

$$t\times \frac{44}{125}u$$