Solve 51/2*4div33/4

$$5 \frac { 1 } { 2 } \times 4 \div 3 \frac { 3 } { 4 }$$

Evaluate

$$\frac{88}{15}\approx 5.866666667$$

Solution Steps

Multiply 5 and 2 to get 10.

$$\frac{\frac{10+1}{2}\times 4}{\frac{3\times 4+3}{4}}$$

Add 10 and 1 to get 11.

$$\frac{\frac{11}{2}\times 4}{\frac{3\times 4+3}{4}}$$

Express \frac{11}{2}\times 4 as a single fraction.

$$\frac{\frac{11\times 4}{2}}{\frac{3\times 4+3}{4}}$$

Multiply 11 and 4 to get 44.

$$\frac{\frac{44}{2}}{\frac{3\times 4+3}{4}}$$

Divide 44 by 2 to get 22.

$$\frac{22}{\frac{3\times 4+3}{4}}$$

Multiply 3 and 4 to get 12.

$$\frac{22}{\frac{12+3}{4}}$$

Add 12 and 3 to get 15.

$$\frac{22}{\frac{15}{4}}$$

Divide 22 by \frac{15}{4} by multiplying 22 by the reciprocal of \frac{15}{4}.

$$22\times \frac{4}{15}$$

Express 22\times \frac{4}{15} as a single fraction.

$$\frac{22\times 4}{15}$$

Multiply 22 and 4 to get 88.

$$\frac{88}{15}$$

Factor

$$\frac{2 ^ {3} \cdot 11}{3 \cdot 5} = 5\frac{13}{15} = 5.866666666666666$$