Solve 49/8-175/100

$$\frac{ 49 }{ 8 } - \frac{ 175 }{ 100 }$$

Evaluate

$$\frac{35}{8}=4.375$$

Solution Steps

Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{49}{8}-\frac{7}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{49}{8} and \frac{7}{4} to fractions with denominator 8.

$$\frac{49}{8}-\frac{14}{8}$$

Since \frac{49}{8} and \frac{14}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-14}{8}$$

Subtract 14 from 49 to get 35.

$$\frac{35}{8}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {3}} = 4\frac{3}{8} = 4.375$$