Solve 7div(7+7)div7/7div7*7:7=

$$\frac { 7 \div ( 7 + 7 ) \div 7 } { 7 \div 7 \cdot 7 : 7 } =$$

Evaluate

$$\frac{1}{14}\approx 0.071428571$$

Solution Steps

Divide 7 by 7 to get 1.

$$\frac{\frac{\frac{7}{7+7}}{7}}{\frac{1\times 7}{7}}$$

Divide \frac{\frac{7}{7+7}}{7} by \frac{1\times 7}{7} by multiplying \frac{\frac{7}{7+7}}{7} by the reciprocal of \frac{1\times 7}{7}.

$$\frac{\frac{7}{7+7}\times 7}{7\times 1\times 7}$$

Add 7 and 7 to get 14.

$$\frac{\frac{7}{14}\times 7}{7\times 1\times 7}$$

Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.

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

Multiply \frac{1}{2} and 7 to get \frac{7}{2}.

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

Multiply 7 and 1 to get 7.

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

Multiply 7 and 7 to get 49.

$$\frac{\frac{7}{2}}{49}$$

Express \frac{\frac{7}{2}}{49} as a single fraction.

$$\frac{7}{2\times 49}$$

Multiply 2 and 49 to get 98.

$$\frac{7}{98}$$

Reduce the fraction \frac{7}{98} to lowest terms by extracting and canceling out 7.

$$\frac{1}{14}$$

Factor

$$\frac{1}{2 \cdot 7} = 0.07142857142857142$$