What is 2\div 3\div 10 ?

The solution to 2\div 3\div 10 is 1/15

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2\div 3\div 10

2 \div 3 \div 10

\frac{1}{15}

Solution steps

2 \div 3 \div 10

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 \div 3 = \frac{2}{3}

= \frac{2}{3} \div 10

\frac{2}{3} \div 10 = \frac{1}{15}

\frac{2}{3} \div 10

Convert element to fraction:

10 = \frac{10}{1}

= \frac{2}{3} \div \frac{10}{1}

Apply the fraction rule:

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

= \frac{2}{3} \cdot \frac{1}{10}

Cross-cancel common factor:

2

2, 10

Greatest Common Divisor (GCD)

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

Prime factorization of

10 : 2 \cdot 5

10

10

divides by

210 = 5 \cdot 2

= 2 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 5

The prime factors common to

2, 10

are

= 2

= \frac{1}{3} \cdot \frac{1}{5}

Multiply fractions:

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

= \frac{1 \cdot 1}{3 \cdot 5}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{3 \cdot 5}

Multiply the numbers:

3 \cdot 5 = 15

= \frac{1}{15}

= \frac{1}{15}

(- 10) - 25 - (- 2)

4 (2)^{3} - 12 (2)^{2}

(- 2 - 5) (- 2 + 3)

- \frac{1}{4} (2)^{2} + 4

(4)^{2} - 6