What is (1\div 4)\div (1\div 2) ?

The solution to (1\div 4)\div (1\div 2) is 1/2

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(1\div 4)\div (1\div 2)

(1 \div 4) \div (1 \div 2)

\frac{1}{2}

Solution steps

(1 \div 4) \div (1 \div 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(1 \div 4) : \frac{1}{4}

1 \div 4

1 \div 4 = \frac{1}{4}

= \frac{1}{4}

= \frac{1}{4} \div (1 \div 2)

Calculate within parentheses

(1 \div 2) : \frac{1}{2}

1 \div 2

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

= \frac{1}{2}

= \frac{1}{4} \div \frac{1}{2}

Multiply and divide (left to right)

\frac{1}{4} \div \frac{1}{2} : \frac{1}{2}

\frac{1}{4} \div \frac{1}{2}

Apply the fraction rule:

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

= \frac{1}{4} \cdot \frac{2}{1}

Cross-cancel common factor:

2

2, 4

Greatest Common Divisor (GCD)

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

The prime factors common to

2, 4

are

= 2

= \frac{1}{2}

= \frac{1}{2}

- 8 + 12 - (- 60)

5 + 3 - 4 + 6 - (7 + 2) \div 3

10 \div 5 (1 + 1) - 5

- 2^{2} + 5^{2} + 3^{2} - 4^{2}

\frac{1}{2} (- 1)^{3}

What is (1\div 4)\div (1\div 2) ?
The solution to (1\div 4)\div (1\div 2) is 1/2