Solve -1/4+3/1025666

$$- \frac{ 1 }{ 4 } + \frac{ 3 }{ 10 } 25666$$

Evaluate

$$\frac{153991}{20}=7699.55$$

Solution Steps

Express \frac{3}{10}\times 25666 as a single fraction.

$$-\frac{1}{4}+\frac{3\times 25666}{10}$$

Multiply 3 and 25666 to get 76998.

$$-\frac{1}{4}+\frac{76998}{10}$$

Reduce the fraction \frac{76998}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{4}+\frac{38499}{5}$$

Least common multiple of 4 and 5 is 20. Convert -\frac{1}{4} and \frac{38499}{5} to fractions with denominator 20.

$$-\frac{5}{20}+\frac{153996}{20}$$

Since -\frac{5}{20} and \frac{153996}{20} have the same denominator, add them by adding their numerators.

$$\frac{-5+153996}{20}$$

Add -5 and 153996 to get 153991.

$$\frac{153991}{20}$$

Factor

$$\frac{153991}{2 ^ {2} \cdot 5} = 7699\frac{11}{20} = 7699.55$$