Solve 1.1div22/7div2

$$1.1 \div \frac{ 22 }{ 7 } \div 2$$

Evaluate

$$0.175$$

Solution Steps

Express \frac{\frac{1.1}{\frac{22}{7}}}{2} as a single fraction.

$$\frac{1.1}{\frac{22}{7}\times 2}$$

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

$$\frac{1.1}{\frac{22\times 2}{7}}$$

Multiply 22 and 2 to get 44.

$$\frac{1.1}{\frac{44}{7}}$$

Divide 1.1 by \frac{44}{7} by multiplying 1.1 by the reciprocal of \frac{44}{7}.

$$1.1\times \frac{7}{44}$$

Convert decimal number 1.1 to fraction \frac{11}{10}.

$$\frac{11}{10}\times \frac{7}{44}$$

Multiply \frac{11}{10} times \frac{7}{44} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 7}{10\times 44}$$

Do the multiplications in the fraction \frac{11\times 7}{10\times 44}.

$$\frac{77}{440}$$

Reduce the fraction \frac{77}{440} to lowest terms by extracting and canceling out 11.

$$\frac{7}{40}$$

Factor

$$\frac{7}{5 \cdot 2 ^ {3}} = 0.175$$