Solve 5/9div1/26+4/9*26

$$\frac { 5 } { 9 } \div \frac { 1 } { 26 } + \frac { 4 } { 9 } \times 26$$

Evaluate

$$26$$

Solution Steps

Divide \frac{5}{9} by \frac{1}{26} by multiplying \frac{5}{9} by the reciprocal of \frac{1}{26}.

$$\frac{5}{9}\times 26+\frac{4}{9}\times 26$$

Express \frac{5}{9}\times 26 as a single fraction.

$$\frac{5\times 26}{9}+\frac{4}{9}\times 26$$

Multiply 5 and 26 to get 130.

$$\frac{130}{9}+\frac{4}{9}\times 26$$

Express \frac{4}{9}\times 26 as a single fraction.

$$\frac{130}{9}+\frac{4\times 26}{9}$$

Multiply 4 and 26 to get 104.

$$\frac{130}{9}+\frac{104}{9}$$

Since \frac{130}{9} and \frac{104}{9} have the same denominator, add them by adding their numerators.

$$\frac{130+104}{9}$$

Add 130 and 104 to get 234.

$$\frac{234}{9}$$

Divide 234 by 9 to get 26.

$$26$$

Factor

$$2\times 13$$