What is -2\div 7\times 3\div 9 ?

The solution to -2\div 7\times 3\div 9 is -2/21

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-2\div 7\times 3\div 9

- 2 \div 7 \times 3 \div 9

- \frac{2}{21}

Solution steps

- 2 \div 7 \times 3 \div 9

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- 2 \div 7 = \frac{- 2}{7}

= \frac{- 2}{7} \times 3 \div 9

\frac{- 2}{7} \times 3 = - \frac{6}{7}

\frac{- 2}{7} \cdot 3

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

\frac{- 2}{7} = - \frac{2}{7}

= - \frac{2}{7} \cdot 3

- \frac{2}{7} \cdot 3 = - \frac{6}{7}

- \frac{2}{7} \cdot 3

Convert element to fraction:

3 = \frac{3}{1}

= - \frac{2}{7} \cdot \frac{3}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

\frac{2}{7} \cdot \frac{3}{1} = \frac{2 \cdot 3}{7 \cdot 1}

= - \frac{2 \cdot 3}{7 \cdot 1}

Multiply the numbers:

2 \cdot 3 = 6

= - \frac{6}{7 \cdot 1}

Multiply the numbers:

7 \cdot 1 = 7

= - \frac{6}{7}

= - \frac{6}{7}

= - \frac{6}{7} \div 9

- \frac{6}{7} \div 9 = - \frac{2}{21}

- \frac{6}{7} \div 9

Convert element to fraction:

9 = \frac{9}{1}

= - \frac{6}{7} \div \frac{9}{1}

Apply the fraction rule:

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

= - \frac{6}{7} \cdot \frac{1}{9}

Cross-cancel common factor:

3

6, 9

Greatest Common Divisor (GCD)

Prime factorization of

6 : 2 \cdot 3

6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3

Prime factorization of

9 : 3 \cdot 3

9

9

divides by

39 = 3 \cdot 3

= 3 \cdot 3

The prime factors common to

6, 9

are

= 3

= \frac{2}{7} \cdot \frac{1}{3}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= - \frac{2 \cdot 1}{7 \cdot 3}

Multiply the numbers:

2 \cdot 1 = 2

= - \frac{2}{7 \cdot 3}

Multiply the numbers:

7 \cdot 3 = 21

= - \frac{2}{21}

= - \frac{2}{21}

54 - 49 - 59 - (- 48)

3 0^{2} - 1 4^{2}

7 - 3 - 3

5 \div 8 + 3 \div 4

(- 12) \cdot 3 + 18 \div (- 12 \div 6 + 8)

What is -2\div 7\times 3\div 9 ?
The solution to -2\div 7\times 3\div 9 is -2/21