Solve 9-{7-[6-(31/5+22/5)]}

$$9 - \{ 7 - [ 6 - ( 3 \frac { 1 } { 5 } + 2 \frac { 2 } { 5 } ) ] \}$$

Evaluate

$$\frac{12}{5}=2.4$$

Solution Steps

Multiply 3 and 5 to get 15.

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

Add 15 and 1 to get 16.

$$9-\left(7-\left(6-\left(\frac{16}{5}+\frac{2\times 5+2}{5}\right)\right)\right)$$

Multiply 2 and 5 to get 10.

$$9-\left(7-\left(6-\left(\frac{16}{5}+\frac{10+2}{5}\right)\right)\right)$$

Add 10 and 2 to get 12.

$$9-\left(7-\left(6-\left(\frac{16}{5}+\frac{12}{5}\right)\right)\right)$$

Since \frac{16}{5} and \frac{12}{5} have the same denominator, add them by adding their numerators.

$$9-\left(7-\left(6-\frac{16+12}{5}\right)\right)$$

Add 16 and 12 to get 28.

$$9-\left(7-\left(6-\frac{28}{5}\right)\right)$$

Convert 6 to fraction \frac{30}{5}.

$$9-\left(7-\left(\frac{30}{5}-\frac{28}{5}\right)\right)$$

Since \frac{30}{5} and \frac{28}{5} have the same denominator, subtract them by subtracting their numerators.

$$9-\left(7-\frac{30-28}{5}\right)$$

Subtract 28 from 30 to get 2.

$$9-\left(7-\frac{2}{5}\right)$$

Convert 7 to fraction \frac{35}{5}.

$$9-\left(\frac{35}{5}-\frac{2}{5}\right)$$

Since \frac{35}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

$$9-\frac{35-2}{5}$$

Subtract 2 from 35 to get 33.

$$9-\frac{33}{5}$$

Convert 9 to fraction \frac{45}{5}.

$$\frac{45}{5}-\frac{33}{5}$$

Since \frac{45}{5} and \frac{33}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-33}{5}$$

Subtract 33 from 45 to get 12.

$$\frac{12}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{5} = 2\frac{2}{5} = 2.4$$