Solve 2/3*11/8*11/8-4/3*frac{11}{8}-2=

$$\frac { 2 } { 3 } \times \frac { 11 } { 8 } \times \frac { 11 } { 8 } - \frac { 4 } { 3 } \times \frac { 11 } { 8 } - 2 =$$

Evaluate

$$-\frac{247}{96}\approx -2.572916667$$

Solution Steps

Multiply \frac{2}{3} times \frac{11}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 11}{3\times 8}\times \frac{11}{8}-\frac{4}{3}\times \frac{11}{8}-2$$

Do the multiplications in the fraction \frac{2\times 11}{3\times 8}.

$$\frac{22}{24}\times \frac{11}{8}-\frac{4}{3}\times \frac{11}{8}-2$$

Reduce the fraction \frac{22}{24} to lowest terms by extracting and canceling out 2.

$$\frac{11}{12}\times \frac{11}{8}-\frac{4}{3}\times \frac{11}{8}-2$$

Multiply \frac{11}{12} times \frac{11}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 11}{12\times 8}-\frac{4}{3}\times \frac{11}{8}-2$$

Do the multiplications in the fraction \frac{11\times 11}{12\times 8}.

$$\frac{121}{96}-\frac{4}{3}\times \frac{11}{8}-2$$

Multiply \frac{4}{3} times \frac{11}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{121}{96}-\frac{4\times 11}{3\times 8}-2$$

Do the multiplications in the fraction \frac{4\times 11}{3\times 8}.

$$\frac{121}{96}-\frac{44}{24}-2$$

Reduce the fraction \frac{44}{24} to lowest terms by extracting and canceling out 4.

$$\frac{121}{96}-\frac{11}{6}-2$$

Least common multiple of 96 and 6 is 96. Convert \frac{121}{96} and \frac{11}{6} to fractions with denominator 96.

$$\frac{121}{96}-\frac{176}{96}-2$$

Since \frac{121}{96} and \frac{176}{96} have the same denominator, subtract them by subtracting their numerators.

$$\frac{121-176}{96}-2$$

Subtract 176 from 121 to get -55.

$$-\frac{55}{96}-2$$

Convert 2 to fraction \frac{192}{96}.

$$-\frac{55}{96}-\frac{192}{96}$$

Since -\frac{55}{96} and \frac{192}{96} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-55-192}{96}$$

Subtract 192 from -55 to get -247.

$$-\frac{247}{96}$$

Factor

$$-\frac{247}{96} = -2\frac{55}{96} = -2.5729166666666665$$