What is (3+1/2)+3 1/2 ?

The solution to (3+1/2)+3 1/2 is 7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(3+1/2)+3 1/2

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

7

Solution steps

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

Convert mixed numbers to improper fractions:

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

3 \frac{1}{2}

Convert mixed numbers to improper fraction:

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

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

= \frac{7}{2}

= (3 + \frac{1}{2}) + \frac{7}{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(3 + \frac{1}{2}) : \frac{7}{2}

3 + \frac{1}{2}

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

3 + \frac{1}{2}

Convert element to fraction:

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

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

3 \cdot 2 + 1 = 7

3 \cdot 2 + 1

Multiply the numbers:

3 \cdot 2 = 6

= 6 + 1

Add the numbers:

6 + 1 = 7

= 7

= \frac{7}{2}

= \frac{7}{2}

= \frac{7}{2} + \frac{7}{2}

Add and subtract (left to right)

\frac{7}{2} + \frac{7}{2} : 7

\frac{7}{2} + \frac{7}{2}

\frac{7}{2} + \frac{7}{2} = 7

\frac{7}{2} + \frac{7}{2}

Apply rule

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

= \frac{7 + 7}{2}

Add the numbers:

7 + 7 = 14

= \frac{14}{2}

Divide the numbers:

\frac{14}{2} = 7

= 7

= 7

= 7

[(92 + 3) \div 19] \times 9

5 + (8^{2} - 2) \cdot 2

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

- 12 + 3 (7 - 4) + 5

6 \div 1 (1 + 2)