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

The solution to ((1\div 2)+1)\div 2 is 3/4

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((1\div 2)+1)\div 2

((1 \div 2) + 1) \div 2

\frac{3}{4}

Solution steps

((1 \div 2) + 1) \div 2

Follow the PEMDAS order of operations

Calculate within parentheses

((1 \div 2) + 1) : \frac{3}{2}

(1 \div 2) + 1

Calculate within parentheses

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

1 \div 2

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

= \frac{1}{2}

= \frac{1}{2} + 1

Add and subtract (left to right)

\frac{1}{2} + 1 : \frac{3}{2}

\frac{1}{2} + 1

\frac{1}{2} + 1 = \frac{3}{2}

\frac{1}{2} + 1

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

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

1 \cdot 2 + 1 = 3

1 \cdot 2 + 1

Multiply the numbers:

1 \cdot 2 = 2

= 2 + 1

Add the numbers:

2 + 1 = 3

= 3

= \frac{3}{2}

= \frac{3}{2}

= \frac{3}{2}

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

Multiply and divide (left to right)

\frac{3}{2} \div 2 : \frac{3}{4}

\frac{3}{2} \div 2

Convert element to fraction:

2 = \frac{2}{1}

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

Apply the fraction rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

3 \cdot 1 = 3

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

Multiply the numbers:

2 \cdot 2 = 4

= \frac{3}{4}

= \frac{3}{4}

(- 8)^{2} - 4 \cdot 2 \cdot 9

5 \times (7 - 4) + \frac{9}{3} (4) - 16

\frac{16}{3} (- 1) - \frac{79}{3}

+ 4 \times 5 - (28 \div 2) \div 2 + 16

\frac{3 ( - 2 ) ( 3 ) - 2 ( - 1 ) ( 2 )}{4 ( - 2 ) ( - 1 )}