Solve (5/26-3/25)*13/2

$$( \frac { 5 } { 26 } - \frac { 3 } { 25 } ) \cdot \frac { 13 } { 2 }$$

Evaluate

$$\frac{47}{100}=0.47$$

Solution Steps

Least common multiple of 26 and 25 is 650. Convert \frac{5}{26} and \frac{3}{25} to fractions with denominator 650.

$$\left(\frac{125}{650}-\frac{78}{650}\right)\times \frac{13}{2}$$

Since \frac{125}{650} and \frac{78}{650} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-78}{650}\times \frac{13}{2}$$

Subtract 78 from 125 to get 47.

$$\frac{47}{650}\times \frac{13}{2}$$

Multiply \frac{47}{650} times \frac{13}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{47\times 13}{650\times 2}$$

Do the multiplications in the fraction \frac{47\times 13}{650\times 2}.

$$\frac{611}{1300}$$

Reduce the fraction \frac{611}{1300} to lowest terms by extracting and canceling out 13.

$$\frac{47}{100}$$

Factor

$$\frac{47}{2 ^ {2} \cdot 5 ^ {2}} = 0.47$$