Solve 10:2/3*11/2=

$$10 : \frac { 2 } { 3 } \cdot 1 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{45}{2}=22.5$$

Solution Steps

Divide 10 by \frac{2}{3} by multiplying 10 by the reciprocal of \frac{2}{3}.

$$10\times \frac{3}{2}\times \frac{1\times 2+1}{2}$$

Express 10\times \frac{3}{2} as a single fraction.

$$\frac{10\times 3}{2}\times \frac{1\times 2+1}{2}$$

Multiply 10 and 3 to get 30.

$$\frac{30}{2}\times \frac{1\times 2+1}{2}$$

Divide 30 by 2 to get 15.

$$15\times \frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$15\times \frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$15\times \frac{3}{2}$$

Express 15\times \frac{3}{2} as a single fraction.

$$\frac{15\times 3}{2}$$

Multiply 15 and 3 to get 45.

$$\frac{45}{2}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2} = 22\frac{1}{2} = 22.5$$