Solve -1/60*1/32+1/12*1/8

$$- \frac{ 1 }{ 60 } \times \frac{ 1 }{ 32 } + \frac{ 1 }{ 12 } \times \frac{ 1 }{ 8 }$$

Evaluate

$$\frac{19}{1920}\approx 0.009895833$$

Solution Steps

Multiply -\frac{1}{60} times \frac{1}{32} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-1}{60\times 32}+\frac{1}{12}\times \frac{1}{8}$$

Do the multiplications in the fraction \frac{-1}{60\times 32}.

$$\frac{-1}{1920}+\frac{1}{12}\times \frac{1}{8}$$

Fraction \frac{-1}{1920} can be rewritten as -\frac{1}{1920} by extracting the negative sign.

$$-\frac{1}{1920}+\frac{1}{12}\times \frac{1}{8}$$

Multiply \frac{1}{12} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{1920}+\frac{1\times 1}{12\times 8}$$

Do the multiplications in the fraction \frac{1\times 1}{12\times 8}.

$$-\frac{1}{1920}+\frac{1}{96}$$

Least common multiple of 1920 and 96 is 1920. Convert -\frac{1}{1920} and \frac{1}{96} to fractions with denominator 1920.

$$-\frac{1}{1920}+\frac{20}{1920}$$

Since -\frac{1}{1920} and \frac{20}{1920} have the same denominator, add them by adding their numerators.

$$\frac{-1+20}{1920}$$

Add -1 and 20 to get 19.

$$\frac{19}{1920}$$

Factor

$$\frac{19}{2 ^ {7} \cdot 3 \cdot 5} = 0.009895833333333333$$