Solve 5/2-11/10+1/14*7/5

$$\frac{ 5 }{ 2 } - \frac{ 11 }{ 10 } + \frac{ 1 }{ 14 } \times \frac{ 7 }{ 5 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Least common multiple of 2 and 10 is 10. Convert \frac{5}{2} and \frac{11}{10} to fractions with denominator 10.

$$\frac{25}{10}-\frac{11}{10}+\frac{1}{14}\times \frac{7}{5}$$

Since \frac{25}{10} and \frac{11}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-11}{10}+\frac{1}{14}\times \frac{7}{5}$$

Subtract 11 from 25 to get 14.

$$\frac{14}{10}+\frac{1}{14}\times \frac{7}{5}$$

Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7}{5}+\frac{1}{14}\times \frac{7}{5}$$

Multiply \frac{1}{14} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{5}+\frac{1\times 7}{14\times 5}$$

Do the multiplications in the fraction \frac{1\times 7}{14\times 5}.

$$\frac{7}{5}+\frac{7}{70}$$

Reduce the fraction \frac{7}{70} to lowest terms by extracting and canceling out 7.

$$\frac{7}{5}+\frac{1}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{7}{5} and \frac{1}{10} to fractions with denominator 10.

$$\frac{14}{10}+\frac{1}{10}$$

Since \frac{14}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{14+1}{10}$$

Add 14 and 1 to get 15.

$$\frac{15}{10}$$

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$