Solve left(1/112-1/70right)14^2/3

$$\left( \frac{ 1 }{ 112 } - \frac{ 1 }{ 70 } \right) \frac{ { 14 }^{ 2 } }{ 3 }$$

Evaluate

$$-\frac{7}{20}=-0.35$$

Solution Steps

Least common multiple of 112 and 70 is 560. Convert \frac{1}{112} and \frac{1}{70} to fractions with denominator 560.

$$\left(\frac{5}{560}-\frac{8}{560}\right)\times \frac{14^{2}}{3}$$

Since \frac{5}{560} and \frac{8}{560} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-8}{560}\times \frac{14^{2}}{3}$$

Subtract 8 from 5 to get -3.

$$-\frac{3}{560}\times \frac{14^{2}}{3}$$

Calculate 14 to the power of 2 and get 196.

$$-\frac{3}{560}\times \frac{196}{3}$$

Multiply -\frac{3}{560} times \frac{196}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 196}{560\times 3}$$

Do the multiplications in the fraction \frac{-3\times 196}{560\times 3}.

$$\frac{-588}{1680}$$

Reduce the fraction \frac{-588}{1680} to lowest terms by extracting and canceling out 84.

$$-\frac{7}{20}$$

Factor

$$-\frac{7}{20} = -0.35$$