Solve 1/1+frac{1{14}}=

$$\frac { 1 } { 1 + \frac { 1 } { 14 } } =$$

Evaluate

$$\frac{14}{15}\approx 0.933333333$$

Solution Steps

Convert 1 to fraction \frac{14}{14}.

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

Since \frac{14}{14} and \frac{1}{14} have the same denominator, add them by adding their numerators.

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

Add 14 and 1 to get 15.

$$\frac{1}{\frac{15}{14}}$$

Divide 1 by \frac{15}{14} by multiplying 1 by the reciprocal of \frac{15}{14}.

$$1\times \frac{14}{15}$$

Multiply 1 and \frac{14}{15} to get \frac{14}{15}.

$$\frac{14}{15}$$

Factor

$$\frac{2 \cdot 7}{3 \cdot 5} = 0.9333333333333333$$