Solve 40*263/259-15.21

$$40 \times \frac { 263 } { 259 } - 15.21$$

Evaluate

$$\frac{658061}{25900}\approx 25.407760618$$

Solution Steps

Express 40\times \frac{263}{259} as a single fraction.

$$\frac{40\times 263}{259}-15.21$$

Multiply 40 and 263 to get 10520.

$$\frac{10520}{259}-15.21$$

Convert decimal number 15.21 to fraction \frac{1521}{100}.

$$\frac{10520}{259}-\frac{1521}{100}$$

Least common multiple of 259 and 100 is 25900. Convert \frac{10520}{259} and \frac{1521}{100} to fractions with denominator 25900.

$$\frac{1052000}{25900}-\frac{393939}{25900}$$

Since \frac{1052000}{25900} and \frac{393939}{25900} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1052000-393939}{25900}$$

Subtract 393939 from 1052000 to get 658061.

$$\frac{658061}{25900}$$

Factor

$$\frac{439 \cdot 1499}{7 \cdot 37 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 25\frac{10561}{25900} = 25.40776061776062$$