Solve (5/35-1div2)/(37*4)

$$\frac{ ( \frac{ 5 }{ 35 } -1 \div 2) }{ (37 \times 4) }$$

Evaluate

$$-\frac{5}{2072}\approx -0.002413127$$

Solution Steps

Reduce the fraction \frac{5}{35} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{1}{7}-\frac{1}{2}}{37\times 4}$$

Least common multiple of 7 and 2 is 14. Convert \frac{1}{7} and \frac{1}{2} to fractions with denominator 14.

$$\frac{\frac{2}{14}-\frac{7}{14}}{37\times 4}$$

Since \frac{2}{14} and \frac{7}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{2-7}{14}}{37\times 4}$$

Subtract 7 from 2 to get -5.

$$\frac{-\frac{5}{14}}{37\times 4}$$

Multiply 37 and 4 to get 148.

$$\frac{-\frac{5}{14}}{148}$$

Express \frac{-\frac{5}{14}}{148} as a single fraction.

$$\frac{-5}{14\times 148}$$

Multiply 14 and 148 to get 2072.

$$\frac{-5}{2072}$$

Fraction \frac{-5}{2072} can be rewritten as -\frac{5}{2072} by extracting the negative sign.

$$-\frac{5}{2072}$$

Factor

$$-\frac{5}{2072} = -0.002413127413127413$$