Solve (-1/4)*62/11+(-1/4)*39/11

$$( - \frac { 1 } { 4 } ) \cdot 6 \frac { 2 } { 11 } + ( - \frac { 1 } { 4 } ) \cdot 3 \frac { 9 } { 11 }$$

Evaluate

$$-\frac{5}{2}=-2.5$$

Solution Steps

Multiply 6 and 11 to get 66.

$$-\frac{1}{4}\times \frac{66+2}{11}-\frac{1}{4}\times \frac{3\times 11+9}{11}$$

Add 66 and 2 to get 68.

$$-\frac{1}{4}\times \frac{68}{11}-\frac{1}{4}\times \frac{3\times 11+9}{11}$$

Multiply -\frac{1}{4} times \frac{68}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-68}{4\times 11}-\frac{1}{4}\times \frac{3\times 11+9}{11}$$

Do the multiplications in the fraction \frac{-68}{4\times 11}.

$$\frac{-68}{44}-\frac{1}{4}\times \frac{3\times 11+9}{11}$$

Reduce the fraction \frac{-68}{44} to lowest terms by extracting and canceling out 4.

$$-\frac{17}{11}-\frac{1}{4}\times \frac{3\times 11+9}{11}$$

Multiply 3 and 11 to get 33.

$$-\frac{17}{11}-\frac{1}{4}\times \frac{33+9}{11}$$

Add 33 and 9 to get 42.

$$-\frac{17}{11}-\frac{1}{4}\times \frac{42}{11}$$

Multiply -\frac{1}{4} times \frac{42}{11} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{17}{11}+\frac{-42}{4\times 11}$$

Do the multiplications in the fraction \frac{-42}{4\times 11}.

$$-\frac{17}{11}+\frac{-42}{44}$$

Reduce the fraction \frac{-42}{44} to lowest terms by extracting and canceling out 2.

$$-\frac{17}{11}-\frac{21}{22}$$

Least common multiple of 11 and 22 is 22. Convert -\frac{17}{11} and \frac{21}{22} to fractions with denominator 22.

$$-\frac{34}{22}-\frac{21}{22}$$

Since -\frac{34}{22} and \frac{21}{22} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-34-21}{22}$$

Subtract 21 from -34 to get -55.

$$\frac{-55}{22}$$

Reduce the fraction \frac{-55}{22} to lowest terms by extracting and canceling out 11.

$$-\frac{5}{2}$$

Factor

$$-\frac{5}{2} = -2\frac{1}{2} = -2.5$$