Solve 1/8*1/3-5-21/2

$$1 / 8 \times 1 / 3 - 5 - 21 / 2$$

Evaluate

$$-\frac{371}{24}\approx -15.458333333$$

Solution Steps

Multiply \frac{1}{8} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{8\times 3}-5-\frac{21}{2}$$

Do the multiplications in the fraction \frac{1\times 1}{8\times 3}.

$$\frac{1}{24}-5-\frac{21}{2}$$

Convert 5 to fraction \frac{120}{24}.

$$\frac{1}{24}-\frac{120}{24}-\frac{21}{2}$$

Since \frac{1}{24} and \frac{120}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-120}{24}-\frac{21}{2}$$

Subtract 120 from 1 to get -119.

$$-\frac{119}{24}-\frac{21}{2}$$

Least common multiple of 24 and 2 is 24. Convert -\frac{119}{24} and \frac{21}{2} to fractions with denominator 24.

$$-\frac{119}{24}-\frac{252}{24}$$

Since -\frac{119}{24} and \frac{252}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-119-252}{24}$$

Subtract 252 from -119 to get -371.

$$-\frac{371}{24}$$

Factor

$$-\frac{371}{24} = -15\frac{11}{24} = -15.458333333333334$$