Solve (-5)/1-(1/5)(-10)/1-(3/10)frac{(3)}{1}(frac{1}{3})

$$\frac { ( - 5 ) } { 1 } - ( \frac { 1 } { 5 } ) \frac { ( - 10 ) } { 1 } - ( \frac { 3 } { 10 } ) \frac { ( 3 ) } { 1 } ( \frac { 1 } { 3 } )$$

Evaluate

$$-\frac{33}{10}=-3.3$$

Solution Steps

Anything divided by one gives itself.

$$-5-\frac{1}{5}\times \frac{-10}{1}-\frac{3}{10}\times \frac{3}{1}\times \frac{1}{3}$$

Anything divided by one gives itself.

$$-5-\frac{1}{5}\left(-10\right)-\frac{3}{10}\times \frac{3}{1}\times \frac{1}{3}$$

Multiply \frac{1}{5} and -10 to get \frac{-10}{5}.

$$-5-\frac{-10}{5}-\frac{3}{10}\times \frac{3}{1}\times \frac{1}{3}$$

Divide -10 by 5 to get -2.

$$-5-\left(-2\right)-\frac{3}{10}\times \frac{3}{1}\times \frac{1}{3}$$

The opposite of -2 is 2.

$$-5+2-\frac{3}{10}\times \frac{3}{1}\times \frac{1}{3}$$

Add -5 and 2 to get -3.

$$-3-\frac{3}{10}\times \frac{3}{1}\times \frac{1}{3}$$

Anything divided by one gives itself.

$$-3-\frac{3}{10}\times 3\times \frac{1}{3}$$

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

$$-3-\frac{3\times 3}{10}\times \frac{1}{3}$$

Multiply 3 and 3 to get 9.

$$-3-\frac{9}{10}\times \frac{1}{3}$$

Multiply \frac{9}{10} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$-3-\frac{9\times 1}{10\times 3}$$

Do the multiplications in the fraction \frac{9\times 1}{10\times 3}.

$$-3-\frac{9}{30}$$

Reduce the fraction \frac{9}{30} to lowest terms by extracting and canceling out 3.

$$-3-\frac{3}{10}$$

Convert -3 to fraction -\frac{30}{10}.

$$-\frac{30}{10}-\frac{3}{10}$$

Since -\frac{30}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-30-3}{10}$$

Subtract 3 from -30 to get -33.

$$-\frac{33}{10}$$

Factor

$$-\frac{33}{10} = -3\frac{3}{10} = -3.3$$