Solve 3/7-(5/2*1/3)=

$$\frac{ 3 }{ 7 } -( \frac{ 5 }{ 2 } \times \frac{ 1 }{ 3 } )=$$

Evaluate

$$-\frac{17}{42}\approx -0.404761905$$

Solution Steps

Multiply \frac{5}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{7}-\frac{5\times 1}{2\times 3}$$

Do the multiplications in the fraction \frac{5\times 1}{2\times 3}.

$$\frac{3}{7}-\frac{5}{6}$$

Least common multiple of 7 and 6 is 42. Convert \frac{3}{7} and \frac{5}{6} to fractions with denominator 42.

$$\frac{18}{42}-\frac{35}{42}$$

Since \frac{18}{42} and \frac{35}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-35}{42}$$

Subtract 35 from 18 to get -17.

$$-\frac{17}{42}$$

Factor

$$-\frac{17}{42} = -0.40476190476190477$$