Solve 11/2[1/15*2(1/15-1)1/60]

$$\frac { 11 } { 2 } [ \frac { 1 } { 15 } \times 2 ( \frac { 1 } { 15 } - 1 ) \frac { 1 } { 60 } ]$$

Evaluate

$$-\frac{77}{6750}\approx -0.011407407$$

Solution Steps

Multiply \frac{11}{2} times \frac{1}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 1}{2\times 15}\times 2\left(\frac{1}{15}-1\right)\times \frac{1}{60}$$

Do the multiplications in the fraction \frac{11\times 1}{2\times 15}.

$$\frac{11}{30}\times 2\left(\frac{1}{15}-1\right)\times \frac{1}{60}$$

Express \frac{11}{30}\times 2 as a single fraction.

$$\frac{11\times 2}{30}\left(\frac{1}{15}-1\right)\times \frac{1}{60}$$

Multiply 11 and 2 to get 22.

$$\frac{22}{30}\left(\frac{1}{15}-1\right)\times \frac{1}{60}$$

Reduce the fraction \frac{22}{30} to lowest terms by extracting and canceling out 2.

$$\frac{11}{15}\left(\frac{1}{15}-1\right)\times \frac{1}{60}$$

Convert 1 to fraction \frac{15}{15}.

$$\frac{11}{15}\left(\frac{1}{15}-\frac{15}{15}\right)\times \frac{1}{60}$$

Since \frac{1}{15} and \frac{15}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11}{15}\times \frac{1-15}{15}\times \frac{1}{60}$$

Subtract 15 from 1 to get -14.

$$\frac{11}{15}\left(-\frac{14}{15}\right)\times \frac{1}{60}$$

Multiply \frac{11}{15} times -\frac{14}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\left(-14\right)}{15\times 15}\times \frac{1}{60}$$

Do the multiplications in the fraction \frac{11\left(-14\right)}{15\times 15}.

$$\frac{-154}{225}\times \frac{1}{60}$$

Fraction \frac{-154}{225} can be rewritten as -\frac{154}{225} by extracting the negative sign.

$$-\frac{154}{225}\times \frac{1}{60}$$

Multiply -\frac{154}{225} times \frac{1}{60} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-154}{225\times 60}$$

Do the multiplications in the fraction \frac{-154}{225\times 60}.

$$\frac{-154}{13500}$$

Reduce the fraction \frac{-154}{13500} to lowest terms by extracting and canceling out 2.

$$-\frac{77}{6750}$$

Factor

$$-\frac{77}{6750} = -0.011407407407407408$$