Solve 26/1270+frac{6{5}}

$$\frac { 26 } { 1270 + \frac { 6 } { 5 } }$$

Evaluate

$$\frac{65}{3178}\approx 0.020453115$$

Solution Steps

Convert 1270 to fraction \frac{6350}{5}.

$$\frac{26}{\frac{6350}{5}+\frac{6}{5}}$$

Since \frac{6350}{5} and \frac{6}{5} have the same denominator, add them by adding their numerators.

$$\frac{26}{\frac{6350+6}{5}}$$

Add 6350 and 6 to get 6356.

$$\frac{26}{\frac{6356}{5}}$$

Divide 26 by \frac{6356}{5} by multiplying 26 by the reciprocal of \frac{6356}{5}.

$$26\times \frac{5}{6356}$$

Express 26\times \frac{5}{6356} as a single fraction.

$$\frac{26\times 5}{6356}$$

Multiply 26 and 5 to get 130.

$$\frac{130}{6356}$$

Reduce the fraction \frac{130}{6356} to lowest terms by extracting and canceling out 2.

$$\frac{65}{3178}$$

Factor

$$\frac{5 \cdot 13}{2 \cdot 7 \cdot 227} = 0.020453115166771556$$