Solve 2:(-1/3)+5:(-0.2)+1/-2frac{1{7}:(-15)+96/7}+5=-3

$$\frac { 2 : ( - \frac { 1 } { 3 } ) + 5 : ( - 0.2 ) + 1 } { - 2 \frac { 1 } { 7 } : ( - 15 ) + 9 \frac { 6 } { 7 } } + 5 = - 3$$

Verify

Solution Steps

Divide 2 by -\frac{1}{3} by multiplying 2 by the reciprocal of -\frac{1}{3}.

$$\frac{2\left(-3\right)+\frac{5}{-0.2}+1}{\frac{-\frac{2\times 7+1}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Multiply 2 and -3 to get -6.

$$\frac{-6+\frac{5}{-0.2}+1}{\frac{-\frac{2\times 7+1}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Expand \frac{5}{-0.2} by multiplying both numerator and the denominator by 10.

$$\frac{-6+\frac{50}{-2}+1}{\frac{-\frac{2\times 7+1}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Divide 50 by -2 to get -25.

$$\frac{-6-25+1}{\frac{-\frac{2\times 7+1}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Subtract 25 from -6 to get -31.

$$\frac{-31+1}{\frac{-\frac{2\times 7+1}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Add -31 and 1 to get -30.

$$\frac{-30}{\frac{-\frac{2\times 7+1}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Multiply 2 and 7 to get 14.

$$\frac{-30}{\frac{-\frac{14+1}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Add 14 and 1 to get 15.

$$\frac{-30}{\frac{-\frac{15}{7}}{-15}+\frac{9\times 7+6}{7}}+5=-3$$

Express \frac{-\frac{15}{7}}{-15} as a single fraction.

$$\frac{-30}{\frac{-15}{7\left(-15\right)}+\frac{9\times 7+6}{7}}+5=-3$$

Cancel out -15 in both numerator and denominator.

$$\frac{-30}{\frac{1}{7}+\frac{9\times 7+6}{7}}+5=-3$$

Multiply 9 and 7 to get 63.

$$\frac{-30}{\frac{1}{7}+\frac{63+6}{7}}+5=-3$$

Add 63 and 6 to get 69.

$$\frac{-30}{\frac{1}{7}+\frac{69}{7}}+5=-3$$

Since \frac{1}{7} and \frac{69}{7} have the same denominator, add them by adding their numerators.

$$\frac{-30}{\frac{1+69}{7}}+5=-3$$

Add 1 and 69 to get 70.

$$\frac{-30}{\frac{70}{7}}+5=-3$$

Divide 70 by 7 to get 10.

$$\frac{-30}{10}+5=-3$$

Divide -30 by 10 to get -3.

$$-3+5=-3$$

Add -3 and 5 to get 2.

$$2=-3$$

Compare 2 and -3.

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