Solve 53/4*8*11/2

$$5 \frac { 3 } { 4 } \cdot 8 \cdot 1 \frac { 1 } { 2 }$$

Evaluate

$$69$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+3}{4}\times 8\times \frac{1\times 2+1}{2}$$

Add 20 and 3 to get 23.

$$\frac{23}{4}\times 8\times \frac{1\times 2+1}{2}$$

Express \frac{23}{4}\times 8 as a single fraction.

$$\frac{23\times 8}{4}\times \frac{1\times 2+1}{2}$$

Multiply 23 and 8 to get 184.

$$\frac{184}{4}\times \frac{1\times 2+1}{2}$$

Divide 184 by 4 to get 46.

$$46\times \frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$46\times \frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$46\times \frac{3}{2}$$

Express 46\times \frac{3}{2} as a single fraction.

$$\frac{46\times 3}{2}$$

Multiply 46 and 3 to get 138.

$$\frac{138}{2}$$

Divide 138 by 2 to get 69.

$$69$$

Factor

$$3\times 23$$