Solve 1+0div3/22/110divfrac{22{7}div2}

$$\frac { 1 + 0 \div 3 / 22 } { 110 \div \frac { 22 } { 7 } \div 2 }$$

Evaluate

$$\frac{2}{35}\approx 0.057142857$$

Solution Steps

Zero divided by any non-zero number gives zero.

$$\frac{1+0}{\frac{\frac{110}{\frac{22}{7}}}{2}}$$

Add 1 and 0 to get 1.

$$\frac{1}{\frac{\frac{110}{\frac{22}{7}}}{2}}$$

Express \frac{\frac{110}{\frac{22}{7}}}{2} as a single fraction.

$$\frac{1}{\frac{110}{\frac{22}{7}\times 2}}$$

Express \frac{22}{7}\times 2 as a single fraction.

$$\frac{1}{\frac{110}{\frac{22\times 2}{7}}}$$

Multiply 22 and 2 to get 44.

$$\frac{1}{\frac{110}{\frac{44}{7}}}$$

Divide 110 by \frac{44}{7} by multiplying 110 by the reciprocal of \frac{44}{7}.

$$\frac{1}{110\times \frac{7}{44}}$$

Express 110\times \frac{7}{44} as a single fraction.

$$\frac{1}{\frac{110\times 7}{44}}$$

Multiply 110 and 7 to get 770.

$$\frac{1}{\frac{770}{44}}$$

Reduce the fraction \frac{770}{44} to lowest terms by extracting and canceling out 22.

$$\frac{1}{\frac{35}{2}}$$

Divide 1 by \frac{35}{2} by multiplying 1 by the reciprocal of \frac{35}{2}.

$$1\times \frac{2}{35}$$

Multiply 1 and \frac{2}{35} to get \frac{2}{35}.

$$\frac{2}{35}$$

Factor

$$\frac{2}{5 \cdot 7} = 0.05714285714285714$$