What is 9-3\div 1/3+3 ?

The solution to 9-3\div 1/3+3 is 3

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9-3\div 1/3+3

9 - 3 \div \frac{1}{3} + 3

3

Solution steps

9 - 3 \div \frac{1}{3} + 3

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 \div \frac{1}{3} : 9

3 \div \frac{1}{3}

Convert element to fraction:

3 = \frac{3}{1}

= \frac{3}{1} \div \frac{1}{3}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{3}{1} \cdot \frac{3}{1}

Apply rule

\frac{a}{1} = a

= 3 \cdot 3

Multiply the numbers:

3 \cdot 3 = 9

= 9

= 9 - 9 + 3

Add and subtract (left to right)

9 - 9 + 3 : 3

9 - 9 + 3

9 - 9 = 0

= 0 + 3

0 + 3 = 3

= 3

= 3

- 2 (- 2)^{2} + 3 (- 2)

2 (- 3 + 2) (- 3 + 6)

[5 (3 - 4) /2] /3 + [2 (3 + 3 (2 - 1))]^{3}

(- 5)^{0} + [(2)^{4} + (- 2)]

7 + (- 4 + (- 9))