Solve 14/8-1.879/1.251

$$\frac{ 14 }{ 8 } - \frac{ 1.879 }{ 1.251 }$$

Evaluate

$$\frac{1241}{5004}\approx 0.248001599$$

Solution Steps

Reduce the fraction \frac{14}{8} to lowest terms by extracting and canceling out 2.

$$\frac{7}{4}-\frac{1.879}{1.251}$$

Expand \frac{1.879}{1.251} by multiplying both numerator and the denominator by 1000.

$$\frac{7}{4}-\frac{1879}{1251}$$

Least common multiple of 4 and 1251 is 5004. Convert \frac{7}{4} and \frac{1879}{1251} to fractions with denominator 5004.

$$\frac{8757}{5004}-\frac{7516}{5004}$$

Since \frac{8757}{5004} and \frac{7516}{5004} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8757-7516}{5004}$$

Subtract 7516 from 8757 to get 1241.

$$\frac{1241}{5004}$$

Factor

$$\frac{17 \cdot 73}{139 \cdot 2 ^ {2} \cdot 3 ^ {2}} = 0.24800159872102318$$