Solve (-122/3)div1.4-(-81/3)div(-1.4)+101/3div1.4

$$( - 12 \frac { 2 } { 3 } ) \div 1.4 - ( - 8 \frac { 1 } { 3 } ) \div ( - 1.4 ) + 10 \frac { 1 } { 3 } \div 1.4$$

Evaluate

$$-\frac{160}{21}\approx -7.619047619$$

Solution Steps

Multiply 12 and 3 to get 36.

$$\frac{-\frac{36+2}{3}}{1.4}-\frac{-\frac{8\times 3+1}{3}}{-1.4}+\frac{\frac{10\times 3+1}{3}}{1.4}$$

Add 36 and 2 to get 38.

$$\frac{-\frac{38}{3}}{1.4}-\frac{-\frac{8\times 3+1}{3}}{-1.4}+\frac{\frac{10\times 3+1}{3}}{1.4}$$

Express \frac{-\frac{38}{3}}{1.4} as a single fraction.

$$\frac{-38}{3\times 1.4}-\frac{-\frac{8\times 3+1}{3}}{-1.4}+\frac{\frac{10\times 3+1}{3}}{1.4}$$

Multiply 3 and 1.4 to get 4.2.

$$\frac{-38}{4.2}-\frac{-\frac{8\times 3+1}{3}}{-1.4}+\frac{\frac{10\times 3+1}{3}}{1.4}$$

Expand \frac{-38}{4.2} by multiplying both numerator and the denominator by 10.

$$\frac{-380}{42}-\frac{-\frac{8\times 3+1}{3}}{-1.4}+\frac{\frac{10\times 3+1}{3}}{1.4}$$

Reduce the fraction \frac{-380}{42} to lowest terms by extracting and canceling out 2.

$$-\frac{190}{21}-\frac{-\frac{8\times 3+1}{3}}{-1.4}+\frac{\frac{10\times 3+1}{3}}{1.4}$$

Multiply 8 and 3 to get 24.

$$-\frac{190}{21}-\frac{-\frac{24+1}{3}}{-1.4}+\frac{\frac{10\times 3+1}{3}}{1.4}$$

Add 24 and 1 to get 25.

$$-\frac{190}{21}-\frac{-\frac{25}{3}}{-1.4}+\frac{\frac{10\times 3+1}{3}}{1.4}$$

Express \frac{-\frac{25}{3}}{-1.4} as a single fraction.

$$-\frac{190}{21}-\frac{-25}{3\left(-1.4\right)}+\frac{\frac{10\times 3+1}{3}}{1.4}$$

Multiply 3 and -1.4 to get -4.2.

$$-\frac{190}{21}-\frac{-25}{-4.2}+\frac{\frac{10\times 3+1}{3}}{1.4}$$

Expand \frac{-25}{-4.2} by multiplying both numerator and the denominator by 10.

$$-\frac{190}{21}-\frac{-250}{-42}+\frac{\frac{10\times 3+1}{3}}{1.4}$$

Reduce the fraction \frac{-250}{-42} to lowest terms by extracting and canceling out -2.

$$-\frac{190}{21}-\frac{125}{21}+\frac{\frac{10\times 3+1}{3}}{1.4}$$

Since -\frac{190}{21} and \frac{125}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-190-125}{21}+\frac{\frac{10\times 3+1}{3}}{1.4}$$

Subtract 125 from -190 to get -315.

$$\frac{-315}{21}+\frac{\frac{10\times 3+1}{3}}{1.4}$$

Divide -315 by 21 to get -15.

$$-15+\frac{\frac{10\times 3+1}{3}}{1.4}$$

Express \frac{\frac{10\times 3+1}{3}}{1.4} as a single fraction.

$$-15+\frac{10\times 3+1}{3\times 1.4}$$

Multiply 10 and 3 to get 30.

$$-15+\frac{30+1}{3\times 1.4}$$

Add 30 and 1 to get 31.

$$-15+\frac{31}{3\times 1.4}$$

Multiply 3 and 1.4 to get 4.2.

$$-15+\frac{31}{4.2}$$

Expand \frac{31}{4.2} by multiplying both numerator and the denominator by 10.

$$-15+\frac{310}{42}$$

Reduce the fraction \frac{310}{42} to lowest terms by extracting and canceling out 2.

$$-15+\frac{155}{21}$$

Convert -15 to fraction -\frac{315}{21}.

$$-\frac{315}{21}+\frac{155}{21}$$

Since -\frac{315}{21} and \frac{155}{21} have the same denominator, add them by adding their numerators.

$$\frac{-315+155}{21}$$

Add -315 and 155 to get -160.

$$-\frac{160}{21}$$

Factor

$$-\frac{160}{21} = -7\frac{13}{21} = -7.619047619047619$$