Solve 26.003-154.001/6.995=?

$$26.003 - \frac { 154.001 } { 6.995 } = ?$$

Evaluate

$$\frac{5577997}{1399000}\approx 3.987131523$$

Solution Steps

Expand \frac{154.001}{6.995} by multiplying both numerator and the denominator by 1000.

$$26.003-\frac{154001}{6995}$$

Convert decimal number 26.003 to fraction \frac{26003}{1000}.

$$\frac{26003}{1000}-\frac{154001}{6995}$$

Least common multiple of 1000 and 6995 is 1399000. Convert \frac{26003}{1000} and \frac{154001}{6995} to fractions with denominator 1399000.

$$\frac{36378197}{1399000}-\frac{30800200}{1399000}$$

Since \frac{36378197}{1399000} and \frac{30800200}{1399000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36378197-30800200}{1399000}$$

Subtract 30800200 from 36378197 to get 5577997.

$$\frac{5577997}{1399000}$$

Factor

$$\frac{5577997}{1399 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 3\frac{1380997}{1399000} = 3.987131522516083$$