What is 1/2 (1/2+1) ?

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

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1/2 (1/2+1)

\frac{1}{2} (\frac{1}{2} + 1)

\frac{3}{4}

Solution steps

\frac{1}{2} (\frac{1}{2} + 1)

Follow the PEMDAS order of operations

Calculate within parentheses

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

Multiply and divide (left to right)

\frac{1}{2} \cdot \frac{3}{2} : \frac{3}{4}

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

Apply the fraction rule:

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

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

Multiply the numbers:

1 \cdot 3 = 3

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

Multiply the numbers:

2 \cdot 2 = 4

= \frac{3}{4}

= \frac{3}{4}

101 \times 19 - 101 \times 18

32 \div 4 + 7 \times 3

2 \cdot 1 0^{0}

\frac{2}{5} + \frac{2}{4}

- 16 + (- 25) + (- 10)