Solve -1/151/16+1/81/4

$$- \frac{ 1 }{ 15 } \frac{ 1 }{ 16 } + \frac{ 1 }{ 8 } \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{13}{480}\approx 0.027083333$$

Solution Steps

Multiply -\frac{1}{15} times \frac{1}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-1}{15\times 16}+\frac{1}{8}\times \frac{1}{4}$$

Do the multiplications in the fraction \frac{-1}{15\times 16}.

$$\frac{-1}{240}+\frac{1}{8}\times \frac{1}{4}$$

Fraction \frac{-1}{240} can be rewritten as -\frac{1}{240} by extracting the negative sign.

$$-\frac{1}{240}+\frac{1}{8}\times \frac{1}{4}$$

Multiply \frac{1}{8} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{240}+\frac{1\times 1}{8\times 4}$$

Do the multiplications in the fraction \frac{1\times 1}{8\times 4}.

$$-\frac{1}{240}+\frac{1}{32}$$

Least common multiple of 240 and 32 is 480. Convert -\frac{1}{240} and \frac{1}{32} to fractions with denominator 480.

$$-\frac{2}{480}+\frac{15}{480}$$

Since -\frac{2}{480} and \frac{15}{480} have the same denominator, add them by adding their numerators.

$$\frac{-2+15}{480}$$

Add -2 and 15 to get 13.

$$\frac{13}{480}$$

Factor

$$\frac{13}{2 ^ {5} \cdot 3 \cdot 5} = 0.027083333333333334$$